Several Absolutely Monotonic Functions Related to the Complete Elliptic Integral of the First Kind-Reference-Cited by-同舟云学术

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Several Absolutely Monotonic Functions Related to the Complete Elliptic Integral of the First Kind

Published:2022-04-06 Issue:3 Volume:77 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Tian Jing-Feng,Yang Zhen-Hang

Funder

Fundamental Research Funds for the Central Universities

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-022-01641-4.pdf

Reference27 articles.

1. Byrd, P.F., Friedman, M.D.: Handbook of Elliptic Integrals for Engineers and Scientists. Springer, New York (1971)

2. Bakuradze, M., Vershinin, V.V.: On addition theorems related to elliptic integrals. Proc. Steklov Inst. Math. 305, 22–32 (2019)

3. Carlson, B.C., Guatafson, J.L.: Asymptotic expansion of the first elliptic integral. SIAM J. Math. Anal. 16(5), 1072–1092 (1985)

4. Borwein, J.M., Borwein, P.B.: Pi and the AGM. Wiley, New York (1987)

5. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Functional inequalities for hypergeometric functions and complete elliptic integrals. SIAM J. Math. Anal. 23(2), 512–524 (1992)

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