Showing items related by title, author, creator and subject.

• Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions 

  Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru (Elsevier, 2025-07)

  The Mordell-Tornheim zeta function and the Herglotz-Zagier function F(x) are two important functions in Mathematics. By generalizing a special case of the former, namely Θ(z, x), we show that the theories of these functions ...
• Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts 

  Dixit, Atul; Kumar, Rahul; Maji, Bibekananda (Elsevier, 2018-06)

  In 1914, Hardy proved that infinitely many non-trivial zeros of the Riemann zeta function lie on the critical line using the transformation formula of the Jacobi theta function. Recently the first author obtained an integral ...
• The generalized modified Bessel function Kz,w(x) at z=1/2 and Humbert functions, 

  Kumar, Rahul (Cornell University Library, 2018-10)

  Recently Dixit, Kesarwani, and Moll introduced a generalization Kz,w(x) of the modified Bessel function Kz(x) and showed that it satisfies an elegant theory similar to Kz(x). In this paper, we show that while K12(x) is an ...