Topics in special functions III

Abstract

The authors survey recent results in special functions of classical analysis and geometric function theory, in particular the circular and hyperbolic functions, the gamma function, the elliptic integrals, the Gaussian hypergeometric function, power series, and mean values.

47 pages

References in corpus (13)

• Generalized Convexity and Inequalities
• On Jordan type inequalities for hyperbolic functions
• Generalized elliptic functions and their application to a nonlinear eigenvalue problem with $p$-Laplacian
• Inequalities and monotonicity of ratios for generalized hypergeometric function
• Generalized Elliptic Integrals and the Legendre M-function
• Monotonicity and logarithmic convexity relating to the volume of the unit ball
• Teichmüller's problem in space
• Bounds for the Ratios of Differences of Power Means in Two Arguments
• Inequalities for the generalized trigonometric and hyperbolic functions
• Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
• Reflections on Ramanujan's Mathematical Gems
• Some Best Possible Inequalities Concerning Certain Bivariate Means
• Log-convexity and log-concavity for series in gamma ratios and applications

Cited by in corpus (1)

• Inequalities for the generalized trigonometric and hyperbolic functions