SOME COMPOSITION FORMULAS OF JACOBI TYPE ORTHOGONAL POLYNOMIALS

DOI10.4134/CKMS.C160192zbMath1384.33020OpenAlexW2965352463MaRDI QIDQ4604959

Saiful Rahman Mondal, Pradeep Malik

Publication date: 6 March 2018

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHCJ&py=2017&vnc=v32n3&sp=677

zbMATH Keywords

classical orthogonal polynomialsgeneralized hypergeometric functiongeneralized Wright functionfractional integral transform

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

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• Derivatives of a finite class of orthogonal polynomials related to inverse gamma distribution
• Derivatives of a finite class of orthogonal polynomials defined on the positive real line related to \(F\)-distribution
• Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
• New approach to a generalized fractional integral
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• Marichev-Saigo-Maeda fractional integration operators involving generalized Bessel functions
• Integral operators involving hypergeometric functions
• FRACTIONAL CALCULUS OPERATORS AND THEIR IMAGE FORMULAS
• Generalized fractional integration of Bessel function of the first kind
• All the special functions are fractional differintegrals of elementary functions
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
• The asymptotic expansion of integral functions defined by Taylor series
• The Asymptotic Expansion of the Generalized Hypergeometric Function

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