Operators of fractional calculus and associated integral transforms of the \((\mathfrak{r}, \mathfrak{s})\)-extended Bessel-Struve kernel function

DOI10.1007/s40819-020-00927-xzbMath1465.26004OpenAlexW3101398692MaRDI QIDQ2026888

Ritu Agarwal, Sunil Dutt Purohit, Rakesh Kumar Parmar

Publication date: 21 May 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00927-x

zbMATH Keywords

fractional calculus operators\((\mathfrak{r}, \mathfrak{s})\)-extended Bessel-Struve kernel function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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• Corrigendum to: ``Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
• Erratum to: ``On (\(p, q\))-analogue of Bernstein operators
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• On extended Hurwitz-Lerch zeta function
• Remarks on a generalized beta function
• Approximation by \((p,q)\)-Baskakov-Durrmeyer-Stancu operators
• The Bessel-Struve intertwining operator on \(\mathbb{C}\) and mean-periodic functions
• Improved approximation and error estimations by King type \((p, q)\)-Szász-Mirakjan Kantorovich operators
• \((p,q)\)-extended Bessel and modified Bessel functions of the first kind
• Certain generalized fractional calculus formulas and integral transforms involving \((p, q)\)-Mathieu-type series
• The H-Function
• THE IDEAL τ(M) AND LOCALLY CYCLIC PROJECTIVE MODULES
• Bessel–Struve intertwining operator and generalized Taylor series on the real line
• On (p, q)-extension of further members of Bessel-Struve functions class
• Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers
• MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION
• GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• Operators of fractional integration and their applications

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