Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator

Amini, Ebrahim; Al‐Omari, Shrideh; Nonlaopon, Kamsing; Băleanu, Dumitru

doi:10.3390/sym14050879

Cited by 19 publications

(11 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The q-difference operator has fascinated and inspired many scientists due to its use in various areas of quantitative sciences. The application of q-calculus was initiated by Jackson [11] (see also [12][13][14][15]. Kanas and Rȃducanu [16] used fractional q-calculus operators when investigating certain classes of functions, which are analytic in U.…”

Section: Rementioning

confidence: 99%

Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Murugusundaramoorthy,

Vijaya,

Breaz

et al. 2023

Mathematics

View full text Add to dashboard Cite

In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects such as coefficient bounds, convolution conservation, and convexity constraints. Next, using sufficiency criteria, we calculate the sharp bounds of the real parts of the ratios of harmonic functions to their sequences of partial sums. In addition, for the first time some of the interesting implications of the q-Srivastava–Attiya operator in harmonic functions are also included.

show abstract

Section: Rementioning

confidence: 99%

Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Murugusundaramoorthy,

Vijaya,

Breaz

et al. 2023

Mathematics

View full text Add to dashboard Cite

show abstract

“…Although an extensive review of the q-calculus theory was given by Jackson [1,2], Srivastava [3] establishes a connection between the geometric nature of the univalent function and the q-derivative operator. In [4], the authors studied a subclass of biunivalent functions by using q-diference operators. Kanas et al [5] described a symmetric operator by employing a qderivative on a conic region, while Arif et al [6] studied a symmetric operator to popularize the multivalent analytic functions.…”

Section: Introductionmentioning

confidence: 99%

Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators

Amini,

Al-Omari,

Suthar

2024

Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q-analogue Salagean integral operator, the p-valent convergence polynomial was introduced. Furthermore, a number of subclasses of analytic symmetric p-valent functions linked to novel polynomials are also deduced. After that, specific coefficient constraints are determined and symmetric δ,q-neighborhoods for p-valent functions are defined. In relation to symmetric δ,q-neighborhoods of q-symmetric p-valent functions formed by Poisson distributions, this paper presents new inclusion results. In addition, a detailed discussion of certain q-symmetric inequalities of analytic functions with negative coefficients is also provided.

show abstract

“…In literature, differentiation and integration of function are formulated by using the quantum theory of calculus (or q-calculus) [1][2][3]. The Jackson q-calculus is also involved in various areas of science including fractional q-calculus, optimal control, nonlinear integrodifferential equations, q-difference, and q-integral equations [4][5][6][7]. Ismail et al [8] are the first to employ the theory of q-calculus for investigating the geometric function theory.…”

Section: Introductionmentioning

confidence: 99%

On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals

Fardi,

Amini,

Al-Omari

2024

Journal of Function Spaces

Self Cite

View full text Add to dashboard Cite

In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q-fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the q-fractional integral operator and obtain some applications for the differential subordination.

show abstract

Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator

Cited by 19 publications

References 34 publications

Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators

On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals

Contact Info

Product

Resources

About