Sine and cosine types of generating functions

DOI10.2298/AADM200530002MzbMath1499.05044MaRDI QIDQ5028839

Zahra Moalemi, Mohammad Masjed-Jamei

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionsclassical orthogonal polynomialsBernoulli numbersSheffer polynomialsAppell polynomialsEuler numbersGenocchi numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (3)

Formulae bringing to light from certain classes of numbers and polynomials ⋮ The \((p,q)\)-sine and \((p,q)\)-cosine polynomials and their associated \((p,q)\)-polynomials ⋮ A generalization of the array type polynomials

Cites Work

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• Symbolic computation of some power-trigonometric series
• Noncentral limit theorems and Appell polynomials
• A unified presentation of the generating functions of the generalized 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
• Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
• An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials
• 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
• A new generalization of the Ostrowski inequality and applications
• A new family of combinatorial numbers and polynomials associated with peters numbers and polynomials
• An extension of Pochhammer’s symbol and its application to hypergeometric functions
• An extension of Pochhammer’s symbol and its application to hypergeometric functions, II
• A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems
• A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials

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