Modified Apostol-Euler numbers and polynomials of higher order

DOI10.32513/TBILISI/1546570885zbMath1431.11033OpenAlexW2922400091MaRDI QIDQ2299525

Ali Z. Bin-Alhag, Maged G. Bin-Saad

Publication date: 21 February 2020

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tbilisi/1546570885

zbMATH Keywords

Euler polynomialsApostol-Euler polynomials of higher orderEuler polynomials of higher orderApostol-Euler polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• An extension of generalized Apostol-Euler polynomials
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• On the Lerch zeta function
• Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
• Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
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