scholarly journals On Appell sequences of polynomials of Bernoulli and Euler type

2008 ◽  
Vol 341 (2) ◽  
pp. 1295-1310 ◽  
Author(s):  
Piergiulio Tempesta
Keyword(s):  
Appell Sequences

scholarly journals Certain results of hybrid families of special polynomials associated with appell sequences

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3833-3844 ◽  
Author(s):  
Ghazala Yasmin ◽  
Abdulghani Muhyi
Keyword(s):  
Generating Functions ◽  
Mixed Type ◽  
Bernoulli Polynomials ◽  
Operational Method ◽  
Appell Polynomials ◽  
Special Polynomials ◽  
Appell Sequences

In this article, the Legendre-Gould-Hopper polynomials are combined with Appell sequences to introduce certain mixed type special polynomials by using operational method. The generating functions, determinant definitions and certain other properties of Legendre-Gould-Hopper based Appell polynomials are derived. Operational rules providing connections between these formulae and known special polynomials are established. The 2-variable Hermite Kamp? de F?riet based Bernoulli polynomials are considered as an member of Legendre-Gould-Hopper based Appell family and certain results for this member are also obtained.

scholarly journals Finding Determinant Forms of Certain Hybrid Sheffer Sequences

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1105
Author(s):  
Alansari ◽  
Riyasat ◽  
Khan ◽  
Kazmi
Keyword(s):  
Generating Functions ◽  
Integral Transform ◽  
Matrix Approach ◽  
New Family ◽  
Appell Sequences ◽  
Sheffer Sequences

In this article, the integral transform is used to introduce a new family of extended hybrid Sheffer sequences via generating functions and operational rules. The determinant forms and other properties of these sequences are established using a matrix approach. The correspondingresults for the extended hybrid Appell sequences are also obtained. Certain examples in terms of the members of the extended hybrid Sheffer and Appell sequences are framed. By employing operational rules, the identities involving the Lah, Stirling and Pascal matrices are derived for the aforementioned sequences.

scholarly journals Shifted Appell Sequences in Clifford Analysis

2012 ◽  
Vol 63 (3-4) ◽  
pp. 1145-1157 ◽  
Author(s):  
Dixan Peña Peña
Keyword(s):  
Clifford Analysis ◽  
Appell Sequences

scholarly journals Quadratic decomposition of Appell sequences

2008 ◽  
Vol 26 (2) ◽  
pp. 177-186 ◽  
Author(s):  
Ana F. Loureiro ◽  
P. Maroni
Keyword(s):  
Appell Sequences ◽  
Quadratic Decomposition

scholarly journals Advanced selection of ensemble control tools

2021 ◽  
Vol 2090 (1) ◽  
pp. 012059
Author(s):  
A Samoletov ◽  
B Vasiev
Keyword(s):  
Special Functions ◽  
Thermodynamic Temperature ◽  
Ensemble Control ◽  
Appell Sequences ◽  
Selection Of

Abstract We propose a method for generating a wide variety of increasingly complex microscopic temperature expressions in the form of functional polynomials in thermodynamic temperature. The motivation for study of such polynomials comes from thermostat theory. The connection of these polynomials with classical special functions, in particular, with Appell sequences, is revealed.

Generalized Bernoulli Polynomials Revisited and Some Other Appell Sequences

2005 ◽  
Vol 12 (4) ◽  
pp. 697-716
Author(s):  
Pascal Maroni ◽  
Manoubi Mejri
Keyword(s):  
Functional Equation ◽  
Canonical Form ◽  
Bernoulli Polynomials ◽  
Positive Definite ◽  
Canonical Forms ◽  
Appell Sequences ◽  
Bernoulli Sequence ◽  
Generalized Bernoulli Polynomials ◽  
Dual Sequences

Abstract We study the problem posed by Nörlund in terms of dual sequences. We determine the functional equation fulfilled by the canonical form of any generalized Bernoulli sequence. Surprisingly these canonical forms are positive definite. Some results are given for an Euler sequence.

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