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Huseyin Irmak,Preveen Agarwal 장전수학회 2021 Proceedings of the Jangjeon mathematical society Vol.24 No.1
The aim of this investigation is first to reveal certain novel-extensive results in relation with both the confluent hypergeometric function and the confluent hypergeometric equation in the complex plane and then to point out a number of the implications propounded by the related results.
ON I-CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY A COMPACT OPERATOR AND MODULUS FUNCTIONS
TANWEER JALAL 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.4
In this paper we introduce and study I-convergent double sequence spaces 2SI0 (F, p), 2SI (F, p) and 2SI∞ (F, p) with the help of compact operator T on the real space R and a sequence of modulus functions F = (fij ). We investigate some topological and algebraic properties, and also prove some inclusion relations on these spaces.
HERMITE BASED POLY-BERNOULLI POLYNOMIALS WITH A q-PARAMETER
UGUR DURAN,MEHMET ACIKGOZ,SERKAN ARACI 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
We introduce the Hermite based poly-Bernoulli polynomi- als with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We also define the Hermite based λ-Stirling polynomi- als of the second kind, and then provide some relations. Moreover, we derive several correlations and identities including the Hermite-Kampe de Feriet (or Gould-Hopper) family of polynomials, the Hermite based poly-Bernoulli polynomials with a q parameter and the Hermite based λ-Stirling polynomials of the second kind.
A REMARK CONCERNING THE INHOMOGENEITY IN KATO’S 1953 THEOREM FOR ABSTRACT EVOLUTION EQUATIONS
A.I. SHTERN 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
We improve membership relations in the famous Tosio Kato theorem concerning strong solutions of abstract evolution equations in Banach spaces.
장관우,김태균,권혁인 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
Recently, the degenerate stirling numbers and polynomials of the second kind and the degenerate Bell polynomials are introduced in [5]. In this paper, we study the extension of the degenerate stirling numbers and polynomials of the second kind and degenerate Bell polynomials. In addition, we will give some identities and relations for these numbers and polynomials.
Existence of а solution of the problem of optimal control of mines for minerals
VELICHKA TRANEVA,Stoyan Tranev 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
Dealt with in the study are exhaustible resources - minerals. In the study will be created a mathematical model of a particular economic system - mine for minerals and will be proven the existence of solution of the problem of optimal control of mines. Also will be formulated necessary and sufficient conditions for optimal control of mines. In today's market environment, many of the parameters for optimum control problems are unspecified. To deal with this fuzziness in conditions and parameters will be used Intuitionistic fuzzy sets, defined from Atanassov in [5]. The algorithms for solution of intuitionistic fuzzy models of mine’s optimal control are presented.
ON A CLASS OF STARLIKE FUNCTIONS RELATED WITH BOOTH LEMNISCATE
R. KARGAR,J. SOKOL,A. EBADIAN,L. TROJNAR-SPELINA 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
Let A be the class of normalized analytic functions. We study the class BS(α) as follows BS(α) := { f ∈ A : (zf'(z)/ f(z) - 1) ≺ z/1-αx2, |z| < 1}, where "≺" is the subordination relation and 0 ≤ α < 1. Also, we consider the class BK(α), including of all functions f ∈ A such that zf'(z) ∈ BS(α). In the present article, some properties of the classes BS() and BK() are investigated.
THE EXTENDED k-MITTAG-LEFFLER FUNCTION AND ITS PROPERTIES
G. Rahman,K.S. NISAR,김태균,S. MUBEEN,M. ARSHAD 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
In this present paper, our aim is to derive the extended k- Mittag-Leffler function by using the extended k-beta function (Mubeen et al. in J. math. anal. Volume 7 Issue 5(2016), 118-131.) and de- ne some integral representation this newly dened function. Also, we introduce the extended k-fractional derivative formula and show that the extended k-fractional derivative k-fractional of the k-Mittag-Leffler gives the extended k-Mittag-Leffler function.
On rough weighted ideal convergence of triple sequence of Bernstein polynomials
Bipan Hazarika,N. Subramanian,Ayhan Esi 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
We introduce and study some basic properties of rough Iλ-convergent of weight g, where g : N³ → [0,∞) is a function satisfying g (m, n, k) → ∞ and |(m,n,k)|/g(m,nk) ↛ 0 as m, n, k → ∞, of triple sequence of Bernstein polynomials and also investigate certain properties of rough Iλ-convergence of weight g.