A class of functions called generalized Bernstein functions is studied. The fundamental properties of this class are given and its relation to generalized Stieltjes functions via the Laplace transform is investigated. The subclass of generalized Thorin-Bernstein functions is characterized in different ways. Examples of generalized Bernstein functions include incomplete gamma functions, Lerch's transcendent and some hypergeometric functions
Special functions, natural generalizations of the elementary functions, have been studied for centur...
This paper is concerned with recent developments on the Stieltjes transform of generalized functions...
Abstract. This paper presents several results associated with the Wright’s generalized hyperge-ometr...
This text is a self-contained and unified approach to Bernstein functions and their subclasses, brin...
In this paper we summarize some properties that are complementary to the book recently published of ...
Bernstein function, Laplace-Stieltjes transform, infinite divisibility, geometric infinite divisibil...
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
This thesis consisting of three chapters is concerned with Bernstein polynomials. In the first chapt...
This paper is concerned with a generalization of the classical Bernstein polynomials where the funct...
O. Introduction. A new theory of generalized functions which is an ex-tension of classical theory of...
Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains mai...
AbstractIn this paper, we introduce new functions as generalizations of the incomplete gamma functio...
AbstractWe give an interesting generalization of the Bernstein polynomials. We find sufficient and n...
This paper is concerned with a generalization of the Bernstein polynomials in which the approximated...
AbstractIn this paper, we apply generalized Stieltjes transform representation to study the generali...
Special functions, natural generalizations of the elementary functions, have been studied for centur...
This paper is concerned with recent developments on the Stieltjes transform of generalized functions...
Abstract. This paper presents several results associated with the Wright’s generalized hyperge-ometr...
This text is a self-contained and unified approach to Bernstein functions and their subclasses, brin...
In this paper we summarize some properties that are complementary to the book recently published of ...
Bernstein function, Laplace-Stieltjes transform, infinite divisibility, geometric infinite divisibil...
A class of generalized polynomials is considered consisting of the null spaces of certain differenti...
This thesis consisting of three chapters is concerned with Bernstein polynomials. In the first chapt...
This paper is concerned with a generalization of the classical Bernstein polynomials where the funct...
O. Introduction. A new theory of generalized functions which is an ex-tension of classical theory of...
Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains mai...
AbstractIn this paper, we introduce new functions as generalizations of the incomplete gamma functio...
AbstractWe give an interesting generalization of the Bernstein polynomials. We find sufficient and n...
This paper is concerned with a generalization of the Bernstein polynomials in which the approximated...
AbstractIn this paper, we apply generalized Stieltjes transform representation to study the generali...
Special functions, natural generalizations of the elementary functions, have been studied for centur...
This paper is concerned with recent developments on the Stieltjes transform of generalized functions...
Abstract. This paper presents several results associated with the Wright’s generalized hyperge-ometr...