Generalized Hersch–Pfluger distortion function and complete elliptic integrals
Copyright policy )Generalized Hersch–Pfluger distortion function and complete elliptic integrals
The main purpose of this paper is to study the relationship between the generalized Hersch-Pfluger distortion function \(\varphi_{K}^{a}(r)\) and complete elliptic integrals of the second kind \({\mathcal E} (r)\), and to establish several new inequalities for \(\varphi_{K}^{a}(r)\) and \({\mathcal E} (r)\).
- Zhejiang Sci-Tech University China (People's Republic of)
- Huzhou University China (People's Republic of)
- Hunan Women'S University China (People's Republic of)
- Hunan University China (People's Republic of)
generalized modular equation, Generalized modular equation, generalized Hersch-Pfluger distortion function, Elliptic integrals, Generalized hypergeometric series, \({}_pF_q\), Generalized Hersch–Pfluger distortion function, Applied Mathematics, Elliptic integrals as hypergeometric functions, Gaussian hypergeometric function, elliptic integrals, Analysis
generalized modular equation, Generalized modular equation, generalized Hersch-Pfluger distortion function, Elliptic integrals, Generalized hypergeometric series, \({}_pF_q\), Generalized Hersch–Pfluger distortion function, Applied Mathematics, Elliptic integrals as hypergeometric functions, Gaussian hypergeometric function, elliptic integrals, Analysis
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