Some papers and preprints published in 2021 by Dr. Prof. Feng Qi

Some papers and preprints published in 2021

Some papers published in 2021

1. Feng Qi, A determinantal expression and a recursive relation of the Delannoy numbers, Acta Universitatis Sapientiae Mathematica 13 (2021), no. 2, 442–449; available online at https://doi.org/10.2478/ausm-2021-0027.
2. Feng Qi, Bounds for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function, Arab Journal of Basic and Applied Sciences 28 (2021), no. 1, 314–318; available online at https://doi.org/10.1080/25765299.2021.1962060.
3. Feng Qi, Determinantal expressions and recursive relations of Delannoy polynomials and generalized Fibonacci polynomials, Journal of Nonlinear and Convex Analysis 22 (2021), no. 7, 1225–1239.
4. Feng Qi, Lower bound of sectional curvature of Fisher–Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions, Results in Mathematics 76 (2021), no. 4, Article 217, 16 pages; available online at https://doi.org/10.1007/s00025-021-01530-2.
5. Feng Qi, Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic, Mathematical Inequalities & Applications 24 (2021), no. 3, 845–855; available online at https://doi.org/10.7153/mia-2021-24-58.
6. Feng Qi, Necessary and sufficient conditions for a ratio involving trigamma and tetragamma functions to be monotonic, Turkish Journal of Inequalities 5 (2021), no. 1, 50–59.
7. Feng Qi, Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function, Applicable Analysis and Discrete Mathematics 15 (2021), no. 2, 378–392; available online at https://doi.org/10.2298/AADM191111014Q.
8. Feng Qi, Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials, Boletim da Sociedade Paranaense de Matemática 39 (2021), no. 4, 73–82; available online at https://doi.org/10.5269/bspm.41758.
9. Feng Qi, Chao-Ping Chen, and Dongkyu Lim, Several identities containing central binomial coefficients and derived from series expansions of powers of the arcsine function, Results in Nonlinear Analysis 4 (2021), no. 1, 57–64; available online at https://doi.org/10.53006/rna.867047.
10. Feng Qi, Muhammet Cihat Daglı, and Dongkyu Lim, Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers, Open Mathematics 19 (2021), no. 1, 833–849; available online at https://doi.org/10.1515/math-2021-0079.
11. Feng Qi and Bai-Ni Guo, From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions, Journal of Mathematical Analysis and Applications 493 (2021), no. 1, Article 124478, 19 pages; available online at https://doi.org/10.1016/j.jmaa.2020.124478.
12. Feng Qi and Bai-Ni Guo, Some properties of the Hermite polynomials, Georgian Mathematical Journal 28 (2021), no. 6, 925–935; available online at https://doi.org/10.1515/gmj-2020-2088.
13. Feng Qi, Wen-Hui Li, Guo-Sheng Wu, and Bai-Ni Guo, Refinements of Young’s integral inequality via fundamental inequalities and mean value theorems for derivatives, Chapter 8, Topics in Contemporary Mathematical Analysis and Applications, pp. 193–227, CRC Press, May 2021; available online at https://doi.org/10.1201/9781003081197-8. Print ISBN: 9781003081197, eText ISBN: 9781000204278.
14. Feng Qi, Wen-Hui Li, Shu-Bin Yu, Xin-Yu Du, and Bai-Ni Guo, A ratio of finitely many gamma functions and its properties with applications, Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 115 (2021), Paper No. 39, 14 pages; available online at https://doi.org/10.1007/s13398-020-00988-z.
15. Feng Qi and Aying Wan, Geometric interpretations and reversed versions of Young’s integral inequality, Advances in the Theory of Nonlinear Analysis and its Applications 5 (2021), no. 1, 1–6; available online at https://doi.org/10.31197/atnaa.817804.
16. Feng Qi, Wen Wang, Bai-Ni Guo, and Dongkyu Lim, Several explicit and recurrent formulas for determinants of tridiagonal matrices via generalized continued fractions, Chapter 15 in: Zakia Hammouch, Hemen Dutta, Said Melliani, and Michael Ruzhansky (eds.), Nonlinear Analysis: Problems, Applications and Computational Methods, SM2A 2019, pp. 233–248; Springer Book Series Lecture Notes in Networks and Systems, Volume 168, 2021; available online at https://doi.org/10.1007/978-3-030-62299-2_15.
17. Muhammet Cihat Dagli and Feng Qi, Several closed and determinantal forms for convolved Fibonacci numbers, Discrete Mathematics Letters 7 (2021), 14–20; available online at https://doi.org/10.47443/dml.2021.0039.
18. Bai-Ni Guo and Feng Qi, Viewing some ordinary differential equations from the angle of derivative polynomials, Iranian Journal of Mathematical Sciences and Informatics 16 (2021), no. 1, 77–95; available online at https://doi.org/10.52547/ijmsi.16.1.77.
19. Yan Hong and Feng Qi, Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices, Open Mathematics 19 (2021), no. 1, 562–568; available online at https://doi.org/10.1515/math-2021-0061.
20. Yan Hong and Feng Qi, Inequalities for generalized eigenvalues of quaternion matrices, Periodica Mathematica Hungarica 83 (2021), no. 1, 12–19; available online at https://doi.org/10.1007/s10998-020-00358-7.
21. Ye Shuang and Feng Qi, Integral inequalities of Hermite–Hadamard type for GA-$F$-convex functions, AIMS Mathematics 6 (2021), no. 9, 9582–9589; available online at https://doi.org/10.3934/math.2021557.
22. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions, AIMS Mathematics 6 (2021), no. 7, 7494–7517; available online at https://doi.org/10.3934/math.2021438.
23. Bai-Ni Guo, Emrah Polatli, and Feng Qi, Determinantal formulas and recurrent relations for bi-periodic Fibonacci and Lucas polynomials, Chapter 18 in the Springer Proceedings of the International Conference on Advances in Mathematics and Computing (ICAMC-2020) organized by Veer Surendra Sai University of Technology, Odisha, India, during 7-8 February 2020; S. K. Paikray et al. (eds.), New Trends in Applied Analysis and Computational Mathematics, Springer Book Series Advances in Intelligent Systems and Computing 1356, Singapore, 2021; available online at https://doi.org/10.1007/978-981-16-1402-6_18.
24. Yan Hong, Bai-Ni Guo, and Feng Qi, Determinantal expressions and recursive relations for the Bessel zeta function and for a sequence originating from a series expansion of the power of modified Bessel function of the first kind, Computer Modeling in Engineering & Sciences 129 (2021), no. 1, 409–423; available online at https://doi.org/10.32604/cmes.2021.016431.
25. Ye Shuang, Bai-Ni Guo, and Feng Qi, Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Serie A Matemáticas 115 (2021), no. 3, Paper No. 135, 12 pages; available online at https://doi.org/10.1007/s13398-021-01071-x.
26. Yan Wang, Muhammet Cihat Dagli, Xi-Min Liu, and Feng Qi, Explicit, determinantal, and recurrent formulas of generalized Eulerian polynomials, Axioms 10 (2021), no. 1, Article 37, 9 pages; available online https://doi.org/10.3390/axioms10010037.

Some preprints announced in 2021

1.  Feng Qi, A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function, arXiv (2021), available online at https://arxiv.org/abs/2003.05300v2.
2. Feng Qi, Explicit formulas for partial Bell polynomials, Maclaurin’s series expansions of real powers of inverse (hyperbolic) cosine and sine, and series representations of powers of Pi, Research Square (2021), available online at https://doi.org/10.21203/rs.3.rs-959177/v3.
3. Feng Qi, Maclaurin’s series expansions of real powers of inverse (hyperbolic) cosine and sine functions with applications, Research Square (2021), available online at https://doi.org/10.21203/rs.3.rs-959177/v2.
4. Feng Qi, Maclaurin’s series expansions of real powers of inverse (hyperbolic) cosine functions and applications, Research Square (2021), available online at https://doi.org/10.21203/rs.3.rs-959177/v1.
5. Feng Qi, Taylor’s series expansions for even powers of inverse cosine function and series representations for powers of Pi, arXiv (2021), available online at https://arxiv.org/abs/2110.02749v1.
6. Feng Qi, Taylor’s series expansions for real powers of functions containing squares of inverse (hyperbolic) cosine functions, explicit formulas for special partial Bell polynomials, and series representations for powers of circular constant, arXiv (2021), available online at https://arxiv.org/abs/2110.02749v2.
7. Feng Qi, Chao-Ping Chen, and Dongkyu Lim, Five identities involving the product or ratio of two central binomial coefficients, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.02027v1.
8. Feng Qi, Chao-Ping Chen, and Dongkyu Lim, Several combinatorial identities derived from series expansions of powers of arcsine, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.02027v2.
9. Feng Qi and Mansour Mahmoud, Completely monotonic degrees of remainders of asymptotic expansions of digamma function, arXiv preprint (2021), available online at https://arxiv.org/abs/1912.07989v2.
10. Feng Qi and Mansour Mahmoud, Partial solutions to several conjectures on completely monotonic degrees for remainders in asymptotic expansions of the digamma function, arXiv (2021), available online at https://arxiv.org/abs/1912.07989v3.
11. Feng Qi and Mark Daniel Ward, Closed-form formulas and properties of coefficients in Maclaurin’s series expansion of Wilf’s function, arXiv (2021), available online at https://arxiv.org/abs/2110.08576v1.
12. Yan Hong and Feng Qi, Two determinantal inequalities for positive semidefinite matrices, Research Square (2021), available online at https://doi.org/10.21203/rs.3.rs-360043/v1.
13. Wen-Hui Li, Feng Qi, Omran Kouba, and Issam Kaddoura, A further generalization of the Catalan numbers and its explicit formula and integral representation, Authorea (2021), available online at https://doi.org/10.22541/au.159844115.58373405/v3.
14. Frédéric Ouimet and Feng Qi, Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution, arXiv (2021), available online at https://arxiv.org/abs/2105.01494v2.
15. Frédéric Ouimet and Feng Qi, Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution, arXiv (2021), available online at https://arxiv.org/abs/2105.01494v1.
16. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications, arXiv (2021), available online at https://arxiv.org/abs/2101.10686v8.
17. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Maclaurin series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions and for incomplete gamma functions with applications, arXiv (2021), available online at https://arxiv.org/abs/2101.10686v7.
18. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Maclaurin series expansions for powers of inverse (hyperbolic) sine, for powers of inverse (hyperbolic) tangent, and for incomplete gamma functions, with applications, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.10686v6.
19. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Maclaurin series expansions for powers of inverse (hyperbolic) sine, for powers of inverse (hyperbolic) tangent, and for incomplete gamma functions, with applications to second kind Bell polynomials and generalized logsine function, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.10686v5.
20. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Nice series expansions and applications related to powers of inverse sine function and inverse hyperbolic sine function, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.10686v3.
21. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Series expansions for powers of inverse sine and hyperbolic sine functions and for incomplete gamma functions, closed-form formula for special values of second kind Bell polynomials, and series representation of generalized logsine function, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.10686v4.
22. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Series expansions of powers of the arcsine function, closed forms for special Bell polynomials of the second kind, and series representations of generalized logsine functions, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.10686v1.
23. Bai-Ni Guo, Dongkyu Lim, and Feng Qi, Series expansions of powers of the arcsine function, closed forms for special values of the second kind Bell polynomials, and series representations of generalized logsine functions, arXiv preprint (2021), available online at https://arxiv.org/abs/2101.10686v2.
24. Zeynep Ozat, Bayram Cekim, Can Kizilates, and Feng Qi, Parametric kinds of generalized Apostol–Bernoulli polynomials and their properties, arXiv (2021), available online at https://arxiv.org/abs/2110.09411v1.
25. Wen-Hui Li, Jian Cao, Da-Wei Niu, Jiao-Lian Zhao, and Feng Qi, An analytic generalization of the Catalan numbers and its integral representation, arXiv (2021), available online at https://arxiv.org/abs/2005.13515v2.

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Related links

• A list of papers and preprints published by Feng Qi since 1993
• Classifications of some papers
• Publicly sharing papers formally published by Feng Qi
• Some journals and monographs in which Feng Qi published papers

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