Extended generalized Voigt-type functions and related bounds

DOI10.7153/jca-2023-21-05OpenAlexW4320735886MaRDI QIDQ5885593

S. Saravanan, Rakesh Kumar Parmar

Publication date: 4 April 2023

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-2023-21-05

zbMATH Keywords

Bessel function of the first kindgeneralized hypergeometric functionlog-convexityFox-Wright functionTurán inequalityfunctional bounding inequalitiesVoigt functions \(K(x,y)\) and \(L(x,y)\)

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Convexity of real functions in one variable, generalizations (26A51) Inequalities for trigonometric functions and polynomials (26D05) Appell, Horn and Lauricella functions (33C65) Elliptic functions and integrals (33E05)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some unified representations of the Voigt functions
• Inequalities for a unified family of Voigt functions in several variables
• Further results on generalized Kapteyn-type expansions
• On multiindices and multivariables presentation of the Voigt functions.
• Series of Bessel and Kummer-type functions
• Bounding inequalities for the generalized Voigt function
• Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions
• NEW REPRESENTATIONS OF THE VOIGT FUNCTIONS
• Upper bound on √x J_ν(x) and its applications
• Analytic Inequalities
• On Absolute Convergence of Multiple Fourier Series
• A unified presentation of the Voigt functions

This page was built for publication: Extended generalized Voigt-type functions and related bounds