Narendra Bhandari

collaborators

2 papers

math.NT2026

Recurrences for Hypergeometric Moments and Binomial-Harmonic Sums

Narendra Bhandari

Let \[ F(a,b;c;x)={}_2F_1(a,b;c;x), \qquad Φ_{m,\varepsilon}(λ;a,b,c) = \int_0^1 x^{m+λ}F(a,b;c;\varepsilon x)\,dx, \quad \varepsilon=\pm1. \] We study these moments by deriving an…

math.NT2026

Positive rational series for reciprocal powers of Catalan's constant and Dirichlet beta values

Narendra Bhandari

Let $β (s) = \sum_{k = 0}^{\infty} (- 1)^{k} (2 k + 1)^{- s}$ and let $G = β (2)$ be Catalan's constant. We develop two families of positive series for reciprocal powers $β (s)^{- r}$ . The first is o…