Hölder mean inequalities for the complete elliptic integrals
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Publication:3166775
DOI10.1080/10652469.2011.609482zbMath1258.33011OpenAlexW2072884342MaRDI QIDQ3166775
Ye-Fang Qiu, Yu-Ming Chu, Miao-Kun Wang
Publication date: 15 October 2012
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2011.609482
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounds for complete elliptic integrals of the first kind
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Turán type inequalities for generalized complete elliptic integrals
- Distortion functions for plane quasiconformal mappings
- Some inequalities for the Hersch-Pfluger distortion function
- Generalized elliptic integrals and modular equations
- Inequalities for means
- Elliptic integral inequalities with applications
- Generalized convexity and inequalities
- Functional Inequalities for Complete Elliptic Integrals and Their Ratios
- Starlikeness of the Gaussian hypergeometric functions
- Fourier and other series containing associated Legendre functions for incomplete Epstein–Hubbell integrals and functions related to elliptic integrals
- A class ofk-log-convex functions and their applications to some special functions
- Fractional integral and other linear operators associated with the gaussian hypergeometric function
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- Geometric Properties of Convolution Operators Defined by Gaussian Hypergeometric Functions
- Parameter derivatives of the jacoby polynomials and the gaussian hypergeometric function
- Inequalities for Zero-Balanced Hypergeometric Functions
- Polynomial series expansions for confluent and Gaussian hypergeometric functions
- The Herglotz formula and fundamental solutions of hyperbolic cubic operators inR4
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