Faber Polynomial Coefficient Estimates for Bi-Close-to-Convex Functions Defined by the q-Fractional Derivative

HM Srivastava, I Al-Shbeil, Q Xin, F Tchier, S Khan… - Axioms, 2023 - mdpi.com
By utilizing the concept of the q-fractional derivative operator and bi-close-to-convex
functions, we define a new subclass of A, where the class A contains normalized analytic …

Characterizing q-Bessel Functions of the First Kind with Their New Summation and Integral Representations

M Fadel, N Raza, WS Du - Mathematics, 2023 - mdpi.com
As a powerful tool for models of quantum computing, q-calculus has drawn the attention of
many researchers in the discipline of special functions. In this paper, we present new …

Applications of modified Bessel polynomials to solve a nonlinear chaotic fractional-order system in the financial market: Domain-splitting collocation techniques

M Izadi, HM Srivastava - Computation, 2023 - mdpi.com
We propose two accurate and efficient spectral collocation techniques based on a (novel)
domain-splitting strategy to handle a nonlinear fractional system consisting of three ODEs …

[PDF][PDF] A new -fractional integral operator and its applications to the coefficient problem involving the second Hankel determinant for q-starlike and q-convex functions

HM Srivastava, K Alshammari, M Darus - Nonlinear Var. Anal, 2023 - jnva.biemdas.com
In this article, we introduce and study a new q-fractional integral operator which essentially
stems from a successive application of the Srivastava-Owa operator of fractional integration …

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

N Biricik, B Çekim, MA Özarslan - Journal of Taibah University for …, 2024 - Taylor & Francis
In this paper, we introduce general sequence of twice-iterated Δ w-(degenerate) Gould–
Hopper Appell polynomials (TI-DGHAP) via discrete Δ w-Gould–Hopper Appell convolution …

A New Subclass of Analytic Functions Associated with the q-Derivative Operator Related to the Pascal Distribution Series

Y Yang, R Srivastava, JL Liu - Symmetry, 2024 - mdpi.com
Symmetry | Free Full-Text | A New Subclass of Analytic Functions Associated with the q-Derivative
Operator Related to the Pascal Distribution Series Previous Article in Journal A Simple …

Notes on Various Implications of Bailey Transformations in Double-Series and Their Consequences

MI Qureshi, TUR Shah, AH Bhat - International Journal of Applied and …, 2023 - Springer
The generalized hypergeometric functions in one and several variables and their natural
generalizations appear in many mathematical problems and their applications. The …

[PDF][PDF] The symbolic approach to study the family of Appell-λ matrix polynomials

U Zainab, N Raza - Filomat, 2024 - pmf.ni.ac.rs
In this research article, we introduced certain hybrid and matrix special polynomial
associated to λ polynomials and established their properties. Further, the monomiality …

Subclasses of p-Valent κ-Uniformly Convex and Starlike Functions Defined by the q-Derivative Operator

EE Ali, HM Srivastava, AM Albalahi - Mathematics, 2023 - mdpi.com
The potential for widespread applications of the geometric and mapping properties of
functions of a complex variable has motivated this article. On the other hand, the basic or …

The Reaction–Diffusion Models in Biomedicine: Highly Accurate Calculations via a Hybrid Matrix Collocation Algorithm

M Izadi, HM Srivastava - Applied Sciences, 2023 - mdpi.com
A hybrid efficient and highly accurate spectral matrix technique is adapted for numerical
treatments of a class of two-pint boundary value problems (BVPs) with singularity and strong …