Fractional sum and fractional difference on non-uniform lattices and analogue of Euler and Cauchy beta formulas
DOI10.1007/s11766-021-4013-1zbMath1499.39018OpenAlexW3199482906WikidataQ113899884 ScholiaQ113899884MaRDI QIDQ2057404
Publication date: 6 December 2021
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-021-4013-1
special functionsfractional differencefractional sumdifference equation of hypergeometric typenon-uniform latticeCauchy' beta formulaEuler's beta formula
Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Functional-differential equations with fractional derivatives (34K37)
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