Journal of the Ramanujan Mathematical Society

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A Note on Generalizations of Stieltjes Constants


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1 Department of Mathematics, Indian Institute of Technology Ropar, Punjab, India
     

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In this article we consider a generalization of Stieltjes constants and study its relation with special values of certain Dirichlet series. Further we show a connection of these constants with a generalization of Digamma function. Some of the results obtained are a natural generalization of the identities of Gauss, Lehmer, Dilcher and many other authors.
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  • A Note on Generalizations of Stieltjes Constants

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Authors

Tapas Chatterjee
Department of Mathematics, Indian Institute of Technology Ropar, Punjab, India
Suraj Singh Khurana
Department of Mathematics, Indian Institute of Technology Ropar, Punjab, India

Abstract


In this article we consider a generalization of Stieltjes constants and study its relation with special values of certain Dirichlet series. Further we show a connection of these constants with a generalization of Digamma function. Some of the results obtained are a natural generalization of the identities of Gauss, Lehmer, Dilcher and many other authors.

References