Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Mohra Zayed"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 26799-26824 (2024)
In this research, we leverage various $ q $-calculus identities to introduce the notion of $ q $-Hermite-Appell polynomials involving three variables, elucidating their formalism. We delve into numerous properties and unveil novel findings regarding
Externí odkaz:
https://doaj.org/article/9a9bddeec32a48c38b8374db88350486
Publikováno v:
Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 683-700 (2024)
This study introduces a new approach to the development of generalized 1-parameter, 2-variable Hermite–Frobenius–Euler polynomials, which are characterized by their generating functions, series definitions and summation formulae. Additionally, th
Externí odkaz:
https://doaj.org/article/0a8f71909f3a45c7a674d1e82fc29ec7
Autor:
Mohra Zayed, Shahid Ahmad Wani
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 25145-25165 (2024)
We present a novel framework for introducing generalized 3-variable 1-parameter Hermite-based Appell polynomials. These polynomials are characterized by generating function, series definition, and determinant definition, elucidating their fundamental
Externí odkaz:
https://doaj.org/article/a445a0f53f4c4c7a82ac0d744c453a43
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17291-17304 (2024)
This study explores the evolution and application of integral transformations, initially rooted in mathematical physics but now widely employed across diverse mathematical disciplines. Integral transformations offer a comprehensive framework comprisi
Externí odkaz:
https://doaj.org/article/725cb1dbd61c4eb7ae45e250f3c2713c
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16297-16312 (2024)
Originally developed within the realm of mathematical physics, integral transformations have transcended their origins and now find wide application across various mathematical domains. Among these applications, the construction and analysis of speci
Externí odkaz:
https://doaj.org/article/3744bb45b48c424d999612c2abbdeb10
Autor:
Mohra Zayed, Gamal Hassan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8712-8731 (2024)
This paper presented a new Ruscheweyh fractional derivative of fractional order in the complex conformable calculus sense. We applied the constructed complex conformable Ruscheweyh derivative (CCRD) on a certain base of polynomials (BPs) in different
Externí odkaz:
https://doaj.org/article/02724fc846cc411685a646fa52ac485b
Publikováno v:
Heliyon, Vol 10, Iss 8, Pp e28934- (2024)
Various authors have put their sincere efforts into proposing ratio estimators for estimating the population's mean and variance under different situations and sampling methods. But the problem arises when data is unstable, imprecise, ambiguous, inco
Externí odkaz:
https://doaj.org/article/2e85c42c73d24920adb9544e909d7bdf
Autor:
Mohra Zayed, Shahid Wani
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30813-30826 (2023)
In this study, we develop various features in special polynomials using the principle of monomiality, operational formalism, and other qualities. By utilizing the monomiality principle, new outcomes can be achieved while staying consistent with past
Externí odkaz:
https://doaj.org/article/6dcd19868a0c4b09b1d541b4a1900b34
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 28951-28975 (2023)
The free metaplectic transformation (FMT) has gained much popularity in recent times because of its various applications in signal processing, paraxial optical systems, digital algorithms, optical encryption and so on. However, the FMT is inadequate
Externí odkaz:
https://doaj.org/article/84922a8638a0435f82c07ed034f51851
Autor:
Gamal Hassan, Mohra Zayed
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 26115-26133 (2023)
The present paper investigates the approximation of special monogenic functions (SMFs) in infinite series of hypercomplex Hasse derivative bases (HHDBs) in Fréchet modules (F-modules). The obtained results ensure the existence of such representation
Externí odkaz:
https://doaj.org/article/d98a732b469242ac9eaeee0fd5719cfa