In this study, a new class R Σ μ (x, γ, α, δ, β) of bi-univalent functions studied by means of
Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the …

97 UDC 517.54 S. Sümer Eker, B. Seker, S. Ece ON NORMALIZED RABOTNOV FUNCTION
ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC FU Page 1 Probl. Anal. Issues …

In this paper, taking into account the intriguing recent results of Rabotnov functions, Poisson
functions, Bessel functions and Wright functions, we consider a new comprehensive …

Let (R α, β, γ (z)) m (z)= z+∑ n= 1 m A nzn+ 1 be the sequence of partial sums of the
normalized Rabotnov function R α, β, γ (z)= z+∑ n= 1∞ A nzn+ 1 where A n= β n Γ γ+ α Γ γ+ …

The aim of this study is to investigate a certain sufficiency criterion for uniform convexity,
strong starlikeness, and strong convexity of Rabtonov fractional exponential functions. We …

This work is an attempt to apply Lambert series in the theory of univalent functions. We first
consider the Hadamard product of Rabotnov function and Lambert series with coefficients …

In the present study, our main aim is to give lower bounds for the ratio of some the
normalized Le Roy-type Mittag-Leffler function and their sequences of partial sums, as well …

In this study, we consider a Lambert series whose coefficients are the sum of divisors
function. Utilizing the Lambert series in the sequel we introduce a normalized linear operator …

Abstract Let\({\mathbb {R}} _ {\alpha,\beta}(z)= z+{\displaystyle\sum\limits _ {n=
2}^{\infty}}\frac {\beta^{n-1}\Gamma (1+\alpha)}{\Gamma ((1+\alpha) n)} z^{n}\) be the …

The main, well-known scientific results were obtained by outstanding scientist Yu. N.
Rabotnov in the field of creep theory, hereditary elasticity, damage mechanics, technical …