FRACTIONAL INTEGRAL-OPERATORS INVOLVING A PRODUCT OF GENERALIZED HYPERGEOMETRIC-FUNCTIONS AND A GENERAL-CLASS OF POLYNOMIALS II

被引：0
|
作者：
GOYAL, SP
JAIN, RM
GAUR, N
机构：
[1] GOVT COLL,DEPT MATH,BANSWARA,INDIA
[2] GOVT COLL,DEPT MATH,AJMER,INDIA
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1992年 / 23卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is in continuation to our recent paper4 in this journal. In the present paper, it is shown how these operators can be identified with elements of the algebra of functions having the Mellin convolution as the product. Inversion formulas and the relations of our operators with the generalized Hankel transforms are also established. The main results of this paper provide us the unification and extensions to the earlier results due to Saxena and Kumbhat5, Goyal and Jain3 and others.
引用
收藏
页码：121 / 128
页数：8
相关论文
共 50 条
  • [1] FRACTIONAL INTEGRAL-OPERATORS INVOLVING A PRODUCT OF GENERALIZED HYPERGEOMETRIC-FUNCTIONS AND A GENERAL-CLASS OF POLYNOMIALS
    GOYAL, SP
    JAIN, RM
    GAUR, N
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1991, 22 (05): : 403 - 411
  • [2] FRACTIONAL INTEGRAL-OPERATORS INVOLVING A GENERAL-CLASS OF POLYNOMIALS
    SRIVASTAVA, HM
    GOYAL, SP
    JAIN, RM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 148 (01) : 87 - 100
  • [3] FRACTIONAL INTEGRAL-OPERATORS AND THE GENERALIZED HYPERGEOMETRIC-FUNCTIONS
    GOYAL, SP
    JAIN, RM
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1987, 18 (03): : 251 - 259
  • [4] SOME MULTIDIMENSIONAL FRACTIONAL INTEGRAL-OPERATORS INVOLVING A GENERAL-CLASS OF POLYNOMIALS
    SRIVASTAVA, HM
    SAXENA, RK
    RAM, J
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 193 (02) : 373 - 389
  • [5] On Some Fractional Integral Operators Involving Generalized Gauss Hypergeometric Functions
    Virchenko, N.
    Lisetska, O.
    Kalla, S. L.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (02): : 321 - 330
  • [6] THE WEYL FRACTIONAL INTEGRAL OF A GENERAL-CLASS OF POLYNOMIALS
    SRIVASTAVA, HM
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1983, 2B (01): : 219 - 228
  • [7] A CLASS OF FINITE SUMMATION FORMULAS INVOLVING GENERALIZED HYPERGEOMETRIC-FUNCTIONS
    SRIVASTAVA, HM
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1986, 5A (03): : 311 - 320
  • [8] FRACTIONAL INTEGRAL FORMULAS INVOLVING THE MULTIVARIABLE H-FUNCTION AND A GENERAL-CLASS OF POLYNOMIALS
    GUPTA, KC
    AGRAWAL, SM
    SONI, RC
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1990, 21 (01): : 70 - 77
  • [9] FRACTIONAL INTEGRAL FORMULAS INVOLVING A GENERAL-CLASS OF POLYNOMIALS AND THE MULTIVARIABLE H-FUNCTION
    GUPTA, KC
    AGRAWAL, SM
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1989, 99 (02): : 169 - 173
  • [10] On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions
    Baleanu, Dumitru
    Agarwal, Praveen
    ABSTRACT AND APPLIED ANALYSIS, 2014,
12345