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Certain classes of analytic functions defined by Hurwitz-Lerch zeta function

Venkateswarlu Bolineni, Thirupathi Reddy Pinninti, Swapna Galla, Shilpa Rompilli Madhuri

Journal of Applied Analysis

2022

Vol. 28, nr 1

73--81

In this work, we introduce and investigate a new class k - ~USs (b, μ, γ, t) of analytic functions in the open unit disk U with negative coefficients. The object of the present paper is to determine coefficient estimates, neighborhoods and partial sums for functions f belonging to this class.

Properties for some subclasses of meromorphic functions defined by Bessel function

Popade Santosh, Ingle Rajkumar N., Reddy Thirupathi, Venkateswarlu Bolineni

Silesian Journal of Pure and Applied Mathematics

2020

vol. 10, iss. 1

1--13

In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Bessel function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class σ*p(η,κ,υ).

Theory and application of the generalized difference operator of the n-th kind (part I)

Susai Manuel M. M., Xavier G. B. A., Chandrasekar V., Pugalarasu R.

Demonstratio Mathematica

2012

Vol. 45, nr 1

94-106

In this paper, the authors extend the theory of the generalized difference operator (…) .to the generalized difference operator of the n-th kind denoted by (…), where L =(…)of positive reals (…) and obtain some intresting results on the relation between the generalized polynomial factorial of the first kind, n-th kind and algebraic polynomials. Also formulae for the sum of general partial sums of products of several powers of consecutive terms of an arithmetic progression in number theory are derived.

An almost sure limit theorem for the maxima and sums of stationary Gaussian sequences

Dudziński M.

Probability and Mathematical Statistics

2003

Vol. 23, Fasc. 1

139--152

Let X1, X2,… be some standardized stationary Gaussian process and let us put: Mk = max(X1,…Xk), Sk = [wzór] Xi, σk = [wzór]. Our purpose is to prove an almost sure central limit theorem for the sequence (Mk, Sk/σk) under suitable normalization of Mk. The investigations presented in this paper extend the recent research of Csaki and Gonchigdanzan [1] and Dudziński [2].