On degenerate Apostol-type polynomials and applications

DOI10.1007/s40590-018-0220-zzbMath1447.11044OpenAlexW2899578645WikidataQ128972428 ScholiaQ128972428MaRDI QIDQ2010831

Mumtaz Riyasat, Tabinda Nahid, Subuhi Khan

Publication date: 28 November 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-018-0220-z

zbMATH Keywords

recurrence relationexplicit representationsquasi-monomialityApostol-type polynomialsdegenerate Apostol-type polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Computation of special functions and constants, construction of tables (65D20) Special sequences and polynomials (11B83) Numerical aspects of recurrence relations (65Q30)

Related Items (5)

\(\Delta_h\)-Gould-Hopper Appell polynomials ⋮ Finding determinant and integral forms of the 2-iterated \(2D\) Appell polynomials ⋮ 2-Variable Fubini-degenerate Apostol-type polynomials ⋮ An algebraic approach to degenerate Appell polynomials and their hybrid forms via determinants ⋮ Several characterizations of Bessel functions and their applications

Cites Work

• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
• Notes on generalization of the Bernoulli type polynomials
• Unified Apostol-Bernoulli, Euler and Genocchi polynomials
• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
• A degenerate Staudt-Clausen theorem
• Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
• Explicit formulas for degenerate Bernoulli numbers
• Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
• A note on truncated polynomials
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• Identities involving degenerate Euler numbers and polynomials arising from non-linear differential equations
• SOME IDENTITIES OF DEGENERATE GENOCCHI POLYNOMIALS
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