Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
DOI10.1186/1687-1812-2013-87zbMath1293.11044arXiv1111.3848OpenAlexW2143217759WikidataQ59292965 ScholiaQ59292965MaRDI QIDQ2249133
Publication date: 8 July 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.3848
functional equationgenerating functionStirling numbers of the second kindBernoulli polynomialsEuler polynomialsarray polynomialsnormalized polynomialsApostol Bernoulli polynomialsgeneralized Frobenius Euler polynomials
Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)
Related Items (78)
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Cites Work
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- A new generalization of the Bernoulli and related polynomials
- 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
- \(q\)-extensions of some relationships between the Bernoulli and Euler polynomials
- Some new families of generalized Euler and Genocchi polynomials
- Notes on generalization of the Bernoulli type polynomials
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials
- \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
- Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
- Note on \(q\)-extensions of Euler numbers and polynomials of higher order
- A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
- On the \(q\)-extension of Apostol-Euler numbers and polynomials
- Shortened recurrence relations for Bernoulli numbers
- Interpolation functions of \(q\)-extensions of Apostol's type Euler polynomials
- Some results for the \(q\)-Bernoulli and \(q\)-Euler polynomials
- Multiplication formulae for periodic functions
- Generalizations of Bernoulli numbers and polynomials
- Generalizations of Euler numbers and polynomials
- \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
- On a \(q\)-analogue for Bernoulli numbers
- On generalized exponential Euler 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 identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers
- Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
- Complete sum of products of (h,q)-extension of Euler polynomials and numbers
- Interpolation Function of Generalized q −Bernstein-Type Basis Polynomials and Applications
- Some families of Genocchi type polynomials and their interpolation functions
- Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory
- Eulerian Numbers and Polynomials
- ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- ON TWISTED GENERALIZED EULER NUMBERS
- ON EULER NUMBERS
- A Note on the Multiplication Formulas for the Bernoulli and Euler Polynomials
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