A family of complex Appell polynomial sets

DOI10.1007/s13398-018-00622-zzbMath1435.11058OpenAlexW2911041448MaRDI QIDQ2317575

Paolo Emilio Ricci, Pierpaolo Natalini, Hari M. Srivastava

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-00622-z

zbMATH Keywords

generating functionsdifferential equationsSheffer polynomialsTaylor series expansionsAppell polynomialsshift operatorsBoas-Buck polynomial setChebyshev polynomials of the first and second kindcomplex Appell polynomialscomplex Euler polynomialscomplex Genocchi polynomialsmonomiality principle and quasi-monomial sets

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Basic hypergeometric functions (33D99) Real polynomials: analytic properties, etc. (26C05)

Related Items (8)

A parametric type of Bernoulli polynomials with higher level ⋮ A parametric type of Bernoulli polynomials with level 3 ⋮ Complex Appell-Bessel functions and their degenerate analogs ⋮ Some properties of the pseudo-Chebyshev polynomials of half-integer degree ⋮ Differential equations for classical and non-classical polynomial sets: a survey ⋮ The third and fourth kind pseudo-Chebyshev polynomials of half-integer degree ⋮ Several characterizations of Bessel functions and their applications ⋮ Complex spirals and pseudo-Chebyshev polynomials of fractional degree

Cites Work

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• Proceedings of the 3rd Melfi workshop on advanced special functions and related topics in differential equations, Melfi, Italy, June 24--29, 2001
• Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• Some series identities involving the generalized Apostol type and related polynomials
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• The poweroid, an extension of the mathematical notion of power
• Polynomials Defined by Generating Relations
• On Generating Functions of Polynomial Systems

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