One answer to an open problem on the monotonicity of Gaussian hypergeometric functions with respect to parameters-Reference-Cited by-同舟云学术

One answer to an open problem on the monotonicity of Gaussian hypergeometric functions with respect to parameters

Published:2022-05-24 Issue:3 Volume:116 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

Author:

Bao Qi^ORCID,Wang Miao Kun,Zhang Yu Ao

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13398-022-01258-w.pdf

Reference22 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas. Graphs and Mathematical Tables. Dover, New York (1965)

2. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Hypergeometric functions and elliptic integrals. In: Srivastava, H.M., Owa, S. (eds.) Current Topics in Analytic Function Theory. World Scientific Publ. Co., Singapore, London (1992)

3. Anderson, G.D., Qiu, S.L., Vamanamurthy, M.K., Vuorinen, M.: Generalized elliptic integrals and modular equations. Pacific J. Math. 192(1), 1–37 (2000)

4. Andrews, G., Askey, R., Roy, R.: Special Functions. Encyclopedia of Mathematics and Its Applications, vol. 71. Cambridge Univ. Press, Cambridge (1999)

5. Bateman, H., Erdélyi, A.: Higher Transcendental Functions, vol. 1: The Hypergeometric Function, Legendre Functions, New York: McGraw-Hill, 1953. Translated under the title Vysshie transtsendentnye funktsii, vol. 1: Gipergeometricheskaya funktsiya. Funktsiya Lezhandra, Moscow: Nauka (1973)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the absolute monotonicity of generalized elliptic integral of the first kind;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-06-30

2. Monotonicity Properties of Gaussian Hypergeometric Functions with Respect to the Parameter;Pure Mathematics;2023