Results 21 to 30 of about 3,748 (154)

On the zeros of certain Sheffer sequences and their cognate sequences [PDF]

open access: green, 2023
Given a Sheffer sequence of polynomials, we introduce the notion of an associated sequence called the cognate sequence. We study the relationship between the zeros of this pair of associated sequences and show that in case of an Appell sequence, as well as a more general family of Sheffer sequences, the zeros of the members of each sequence (for large ...
Gi‐Sang Cheon   +2 more
openalex   +3 more sources

Certain results associated with hybrid relatives of the q-Sheffer sequences

open access: diamondBoletim da Sociedade Paranaense de Matemática, 2021
The intended objective of this paper is to introduce a new class of the hybrid q-Sheffer polynomials by means of the generating function and series definition. The determinant definition and other striking properties of these polynomials are established. Certain results for the continuous q-Hermite-Appell polynomials are obtained.
Subuhi Khan, Tabinda Nahid
openalex   +3 more sources

Two characterizations of Sheffer-Dunkl sequences [PDF]

open access: green
Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context. In this way some classical operators as the derivative operator or the difference operator are replaced as analogous operators in the Dunkl universe.
Alejandro Gil Asensi   +1 more
openalex   +3 more sources

On multivariable Sheffer sequences

open access: greenJournal of Mathematical Analysis and Applications, 1979
Let {Bn(x)}~=,, be a polynomial sequence which is simple, one where each B,(x) is of degree precisely 71.
James W.H. Brown
openalex   +5 more sources

Powers under umbral composition and degeneration for Sheffer sequences [PDF]

open access: goldAdvances in Difference Equations, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dae San Kim   +3 more
openalex   +4 more sources

The algebra for formal series. II. Sheffer sequences

open access: closedJournal of Mathematical Analysis and Applications, 1980
In this paper we continue the study of the algebra of formal series. We will develop some new results on special sequences and begin the study of Sheffer Sequences, discussing the important examples of Hermite, Laguerre and Bernoulli. The second section gives a very brief survey of parts of [I] as well as a new result which will be used in the sequel ...
Steven Roman
openalex   +3 more sources

Recurrence relations for the Sheffer sequences

open access: closedLinear Algebra and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng-Liang Yang
openalex   +3 more sources

Two characterizations of Sheffer-Dunkl sequences of polynomials [PDF]

open access: hybridNumerical Algorithms
Abstract Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context. In this way some classical operators as the derivative operator or the difference operator are replaced as analogous operators in the Dunkl universe.
Alejandro Gil Asensi   +1 more
openalex   +4 more sources

A Riordan array approach to Apostol type-Sheffer sequences

open access: diamondFilomat, 2019
In this article, the generalized Apostol type-Sheffer sequences are introduced and their properties including the quasi-monomiality, determinant form and series and conjugate representations are derived via Riordan array techniques. The generalized Apostol-Bernoulli, Apostol-Euler and Apostol- Genocchi-Sheffer sequences are considered as ...
Mumtaz Riyasat
openalex   +3 more sources

Winter Temperature Affects Fatty Acid Composition and Gene Expression, but Not Fat Content and Survival in a Northern Population of a Range-Expanding Spider. [PDF]

open access: yesEcol Evol
This study provides insight into the performance of a range‐expanding species and the physiological and molecular mechanisms underlying thermal tolerance at its expanding edge. ABSTRACT Species expand their geographic distribution when environmental conditions are favorable or when mutations arise that allow them to live in previously unfavorable ...
Ortiz-Movliav C   +7 more
europepmc   +2 more sources

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