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Banerji, P. K.
- On Distributional Abel Integral Equation for Distributional Elzaki Transform
Abstract Views :158 |
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Authors
Affiliations
1 Department of Mathematics, Faculty of Science, J. N. V. University, Jodhpur - 342 005, IN
1 Department of Mathematics, Faculty of Science, J. N. V. University, Jodhpur - 342 005, IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 1-2 (2014), Pagination: 87-96Abstract
In this paper Elzaki transform is defined for distribution spaces. Solution of the Abel integral equation is obtained using distributional Elzaki transform is proved in distributional sense. The fractional integral and derivatives (as form of the integral equation) is also employed on distribution spaces.Keywords
Elzaki Transform, Laplace Transform, Abel Integral Equation, Distribution Spaces, Fractional Integrals and Derivatives.- Fractional Integration and Dual Integral Equations
Abstract Views :128 |
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Authors
P. L. Sethi
1,
P. K. Banerji
1
Affiliations
1 Department of Mathematics, University of Jodhpur, Jodhpur, IN
1 Department of Mathematics, University of Jodhpur, Jodhpur, IN
Source
The Journal of the Indian Mathematical Society, Vol 38, No 1-4 (1974), Pagination: 359-363Abstract
Following a method of fractional integration operators, we have presented a formal solution of the set of dual integral equations involving the ordinary Bessel function.- Applications of Fractional Derivative to Study the Mapping Properties of Starlike Functions and the Convexity of Analytic Functions-II
Abstract Views :204 |
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Authors
Affiliations
1 Department of Mathematics, JNV University, Jodhpur-342005, IN
1 Department of Mathematics, JNV University, Jodhpur-342005, IN
Source
The Journal of the Indian Mathematical Society, Vol 70, No 1-4 (2003), Pagination: 25-32Abstract
In the present paper a function is introduced using certain modified fractional derivative operator and the convolutions of three functions, analytic in the unit disc, are mentioned. Also investigated are the characterization properties of the said function in the open unit disc, in order to establish its belongingness to some subclasses of analytic functions and finally, some associations of the said properties with the convolution are mentioned.Keywords
Convex Functions, Starlike Functions, Fractional Derivative Operator, Convolution.- Application of N-Fractional Calculus to Obtain Generating Functions
Abstract Views :227 |
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Authors
Affiliations
1 Department o f Mathematics, J.N.V. University, Jodhpur-342 005, IN
2 Department of Mathematics, University of Aden, Aden, YE
1 Department o f Mathematics, J.N.V. University, Jodhpur-342 005, IN
2 Department of Mathematics, University of Aden, Aden, YE
Source
The Journal of the Indian Mathematical Society, Vol 71, No 1-4 (2004), Pagination: 61-68Abstract
In this paper we apply the concept of Nishimoto’s fractional calculus (N-fractional calculus) to obtain some linear, bilinear and bilateral generating functions involving hypergeometric functions of two and three variables. Some particular cases are mentioned too.Keywords
Generating Functions, Hypergeometric Functions, Appell’s Functions, Lauricella’s Functions, Fractional Derivative.- Inequalities for Multivalent Functions Defined by Ruscheweyh Derivative
Abstract Views :141 |
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Authors
S. B. Joshi
1,
P. K. Banerji
2
Affiliations
1 Department of Mathematics, Walchand College of Engineering, Sangli-416 415, IN
2 Department of Mathematics, J.N.V. University, Jodhpur-342 005, IN
1 Department of Mathematics, Walchand College of Engineering, Sangli-416 415, IN
2 Department of Mathematics, J.N.V. University, Jodhpur-342 005, IN