Search Results - "Wani, Shahid Ahmad"
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1
Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
Published in AIMS mathematics (01-01-2020)“…A mixed family of polynomials, called the Boas-Buck-Sheffer family is introduced and their quasi-monomial properties are established in this article. Also, the…”
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2
Two-iterated degenerate Appell polynomials: properties and applications
Published in Arab journal of basic and applied sciences (31-12-2024)“…AbstractIn the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related…”
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3
A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators
Published in Fractal and fractional (01-10-2023)“…This paper investigates the significance of generating expressions, operational principles, and defining characteristics in the study and development of…”
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4
Certain Properties and Characterizations of Two-Iterated Two-Dimensional Appell and Related Polynomials via Fractional Operators
Published in Fractal and fractional (01-07-2024)“…This paper introduces the operational rule for 2-iterated 2D Appell polynomials and derives its generalized form using fractional operators. It also presents…”
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5
Properties and applications of generalized 1-parameter 3-variable Hermite-based Appell polynomials
Published in AIMS mathematics (01-01-2024)“…We present a novel framework for introducing generalized 3-variable 1-parameter Hermite-based Appell polynomials. These polynomials are characterized by…”
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6
Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials
Published in Mathematical and computer modelling of dynamical systems (31-12-2024)“…This study introduces a new approach to the development of generalized 1-parameter, 2-variable Hermite–Frobenius–Euler polynomials, which are characterized by…”
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7
Studies on Special Polynomials Involving Degenerate Appell Polynomials and Fractional Derivative
Published in Symmetry (Basel) (01-04-2023)“…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…”
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8
Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials
Published in Mathematics (Basel) (01-08-2023)“…A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special…”
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9
Several Characterizations of the Generalized 1-Parameter 3-Variable Hermite Polynomials
Published in Mathematics (Basel) (01-08-2024)“…This paper presents a novel framework for introducing generalized 1-parameter 3-variable Hermite polynomials. These polynomials are characterized through…”
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10
scJVAE: A novel method for integrative analysis of multimodal single-cell data
Published in Computers in biology and medicine (01-05-2023)“…The study of cellular decision-making can be approached comprehensively using multimodal single-cell omics technology. Recent advances in multimodal…”
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11
Degenerate 2D bivariate Appell polynomials: properties and applications
Published in Applied mathematics in science and engineering (31-12-2023)“…The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their…”
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12
Unveiling the Potential of Sheffer Polynomials: Exploring Approximation Features with Jakimovski–Leviatan Operators
Published in Mathematics (Basel) (01-08-2023)“…In this article, we explore the construction of Jakimovski–Leviatan operators for Durrmeyer-type approximation using Sheffer polynomials. Constructing positive…”
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13
Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Published in Mathematics (Basel) (01-09-2023)“…In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion…”
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14
Exploring Properties and Applications of Laguerre Special Polynomials Involving the Δh Form
Published in Symmetry (Basel) (01-09-2024)“…The primary objective of this research is to introduce and investigate novel polynomial variants termed Δh Laguerre polynomials. This unique polynomial type…”
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15
Advancements in $ q $-Hermite-Appell polynomials: a three-dimensional exploration
Published in AIMS mathematics (01-01-2024)“…In this research, we leverage various $ q $-calculus identities to introduce the notion of $ q $-Hermite-Appell polynomials involving three variables,…”
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16
Certain Properties and Characterizations of Multivariable Hermite-Based Appell Polynomials via Factorization Method
Published in Fractal and fractional (01-08-2023)“…This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials. The…”
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17
Certain approximation properties of Brenke polynomials using Jakimovski–Leviatan operators
Published in Journal of inequalities and applications (12-06-2021)“…In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving the Brenke type polynomials. The positive linear…”
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18
On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach
Published in Mathematics (Basel) (01-09-2024)“…The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant…”
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19
Some Families of Differential Equations Associated with Multivariate Hermite Polynomials
Published in Fractal and fractional (01-05-2023)“…In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of…”
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20
A study on extended form of multivariable Hermite-Apostol type Frobenius-Euler polynomials via fractional operators
Published in AIMS mathematics (01-01-2024)“…Originally developed within the realm of mathematical physics, integral transformations have transcended their origins and now find wide application across…”
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