Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
DOI10.1216/RMJ-2019-49-2-681zbMath1418.11038WikidataQ127627981 ScholiaQ127627981MaRDI QIDQ2002516
Mohammad Masjed-Jamei, M. R. Beyki, Hari M. Srivastava
Publication date: 12 July 2019
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1561318400
generating functionsAppell polynomialsApostol-Bernoulli polynomials of order \(\alpha\)Apostol-Euler polynomials of order \(\alpha\)Apostol-Genocchi polynomials of order \(\alpha\)Chebyshev polynomials of the first and second kindcomputation of Taylor type seriesparametric generalizations
Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Real polynomials: analytic properties, etc. (26C05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symbolic computation of some power-trigonometric series
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- Noncentral limit theorems and Appell polynomials
- Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
- Some new families of generalized Euler and Genocchi polynomials
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
- A new type of Euler polynomials and numbers
- Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials
- On the \(q\)-extension of Euler and Genocchi numbers
- On the distribution of the \(q\)-Euler polynomials and the \(q\)-Genocchi polynomials of higher order
- On the \(q\)-extension of Apostol-Euler numbers and polynomials
- Interpolation functions of \(q\)-extensions of Apostol's type Euler polynomials
- Formal groups, Bernoulli-type polynomials and \(L\)-series
- 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
- Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
- q-EXTENSIONS OF GENOCCHI NUMBERS
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- Some formulas for the Bernoulli and Euler polynomials at rational arguments