Generalized \(k\)-Mittag-Leffler function and its properties

DOI10.1216/rmj.2024.54.1427MaRDI QIDQ6635557

Harshal S. Gharat, Rajesh V. Savalia, B. V. Nathwani, Cynthia V. Rodrigues

Publication date: 12 November 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential equationeigenfunction\(k\)-Pochhammer symbol\(k\)-Gamma function

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30)

Cites Work

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• \(q\)-fractional calculus and equations
• Sur la nouvelle fonction \(E_\alpha(x)\).
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• Gessel-Stanton's inverse series and a system of \(q\)-polynomials
• The special functions and their approximations. Vol. I, II
• The H-Function
• Inequalities involving Mittag-Leffler type q-Konhauser polynomial
• p-Deformation of a General Class of Polynomials and its Properties
• Generalized Mittag-Leffler function and its properties

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