Pedro Ribeiro, Semyon Yakubovich
Published 2024-07-19Version 1
Following the work of the second author, a class of summation formulas attached to index transforms is studied in this paper. Our primary results concern summation and integral formulas with respect to the second index of the Whittaker function $W_{\mu,\nu}(z)$.
The modulus of Whittaker functions
On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function
A class of index transforms generated by the Mellin and Laplace operators
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