Some Multidimensional Fractional Integral Operators Involving a General Class of Polynomials
In this paper the authors present a systematic investigation of two novel families of multidimensional fractional integral operators involving a general class of polynomials with essentially arbitrary coefficients. The various theorems established here involve compositions, inversion formulas, and m...
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| Published in | Journal of mathematical analysis and applications Vol. 193; no. 2; pp. 373 - 389 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
San Diego, CA
Elsevier Inc
15.07.1995
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | In this paper the authors present a systematic investigation of two novel families of multidimensional fractional integral operators involving a general class of polynomials with essentially arbitrary coefficients. The various theorems established here involve compositions, inversion formulas, and multidimensional Mellin transforms, and convolutions of these general fractional integral operators. Each of the results obtained in this paper would unify and extend the corresponding (known or new) result for simpler families of fractional integral operators which were studied in several earlier works on the subject. |
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| AbstractList | In this paper the authors present a systematic investigation of two novel families of multidimensional fractional integral operators involving a general class of polynomials with essentially arbitrary coefficients. The various theorems established here involve compositions, inversion formulas, and multidimensional Mellin transforms, and convolutions of these general fractional integral operators. Each of the results obtained in this paper would unify and extend the corresponding (known or new) result for simpler families of fractional integral operators which were studied in several earlier works on the subject. |
| Author | Saxena, R.K. Srivastava, H.M. Ram, J. |
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| Copyright | 1995 Academic Press 1995 INIST-CNRS |
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| Keywords | Integral operator Polynomials Convolution Mellin transformation |
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| Title | Some Multidimensional Fractional Integral Operators Involving a General Class of Polynomials |
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