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q-Analogue of Aleph-Function and Its Transformation Formulae with q-Derivative |
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PP: 567-575 |
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doi:10.18576/jsap/060312
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Author(s) |
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Altaf Ahmad,
Renu Jain,
D. K. Jain,
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Abstract |
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| In the present paper, the authors have derived the alternative definition of q-analogue of Aleph-Function, introduced by Dutta et. al.[13], by using q-Gamma function, which is an q-extension of the generalized H-function and I-function earlier defined by Saxena [4] and some transformation formulae are also derived. The basic analogue for this function provides elegant generalizations of the various results given by Saxena in connection with q- calculus. Some special cases have also been discussed. |
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