Some unified formulas and representations for the Apostol-type polynomials
DOI10.1186/s13662-015-0480-0zbMath1422.11050OpenAlexW2035796759WikidataQ59432083 ScholiaQ59432083MaRDI QIDQ1795008
Publication date: 16 October 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0480-0
Gaussian hypergeometric functionApostol-Bernoulli polynomialsApostol-Euler polynomialsmultiplication formula(generalized) Apostol-type polynomials(generalized) Hurwitz zeta functionGenocchi polynomials of high order
Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Classical hypergeometric functions, ({}_2F_1) (33C05) Hurwitz and Lerch zeta functions (11M35)
Related Items (3)
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
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
- A note on \(q\)-Euler and Genocchi numbers
- Some new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials
- On the distribution of the \(q\)-Euler polynomials and the \(q\)-Genocchi polynomials of higher order
- Elliptic extensions of the Apostol-Bernoulli and Apostol-Euler polynomials
- Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations
- Some series identities involving the generalized Apostol type and related polynomials
- Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- On the Lerch zeta function
- Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
- Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- Some formulas for Apostol-Euler polynomials associated with Hurwitz zeta function at rational arguments
- Some formulas for the Bernoulli and Euler polynomials at rational arguments
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