Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials: some properties
DOI10.2478/CAIM-2024-0018MaRDI QIDQ6651486
Yamilet Quintana, Dionisio Peralta
Publication date: 10 December 2024
Published in: Communications in Applied and Industrial Mathematics (Search for Journal in Brave)
Gegenbauer polynomialsgeneralized Bernoulli polynomialsoperational methodshypergeometric Bernoulli polynomials
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Special sequences and polynomials (11B83)
Cites Work
- About extensions of generalized Apostol-type polynomials
- On the generalization of the Euler polynomials with the real parameters
- On an operational matrix method based on generalized Bernoulli polynomials of level \(m\)
- On hypergeometric Bernoulli numbers and polynomials
- A generalization of the Bernoulli polynomials
- Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level \(m\)
- On a theorem by Bojanov and Naidenov applied to families of Gegenbauer-Sobolev polynomials
- Some sequences of rational numbers related to the exponential function
- Laguerre-type bessel functions
- HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES
- The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points
- Generalized Bernoulli-Laguerre polynomials: applications in coupled nonlinear system of variable-order fractional PDEs
- Generalized Mixed Type Bernoulli-Gegenbauer Polynomials
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