Results 111 to 120 of about 528 (133)

GENERALIZATIONS OF THE BERNOULLI AND APPELL POLYNOMIALS

, 2002
We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti, Pierpaolo Natalini, Paolo E Ricci   +2 more
core   +1 more source

Invariant Sequences. [PDF]

Proc Natl Acad Sci U S A, 1928
Bell ET.
europepmc   +1 more source

Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]

Commun Math Phys
Garoufalidis S, Gu J, Mariño M, Wheeler C.   +3 more
europepmc   +1 more source

Mock Modularity at Work, or Black Holes in a Forest. [PDF]

Entropy (Basel)
Alexandrov S.
europepmc   +1 more source

Studies on Special Polynomials Involving Degenerate Appell Polynomials and Fractional Derivative

Symmetry, 2023
The focus of the research presented in this paper is on a new generalized family of degenerate three-variable Hermite–Appell polynomials defined here using a fractional derivative.
Shahid Ahmad Wani, Kinda Abuasbeh, Georgia Irina Oros   +2 more
exaly   +2 more sources

Certain Results of q -Sheffer–Appell Polynomials

Symmetry, 2019
In this paper, the class of q-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established.
Ghazala Yasmin, Abdulghani Muḥyī, Serkan Araci   +2 more
exaly   +2 more sources

A Note on the Degenerate Type of Complex Appell Polynomials

Symmetry, 2019
In this paper, complex Appell polynomials and their degenerate-type polynomials are considered as an extension of real-valued polynomials. By treating the real value part and imaginary part separately, we obtained useful identities and general properties
Dojin Kim, Kim Dojin
exaly   +2 more sources

Certain Results for the Twice-Iterated 2D q-Appell Polynomials

Symmetry, 2019
In this paper, the class of the twice-iterated 2D q-Appell polynomials is introduced. The generating function, series definition and some relations including the recurrence relations and partial q-difference equations of this polynomial class are ...
H M Srivastava, Ghazala Yasmin, Abdulghani Muḥyī   +2 more
exaly   +3 more sources

Laguerre-type exponentials and generalized Appell polynomials

Computers and Mathematics With Applications, 2004
General classes of two variables Appell polynomials are introduced by exploiting properties of an iterated isomorphism, related to the so-called Laguerre-type exponentials.
Gabriella Bretti, Clemente Cesarano
exaly   +2 more sources

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Δh-Gould-Hopper Appell Polynomials

Acta Mathematica Scientia, 2021
Mehmet Ali Özarslan, Özarslan Mehmet Ali   +1 more
exaly