Narendra Bhandari

works on

analytic continuation 1 binomial identities 1 harmonic numbers 1 hypergeometric series 1 recurrence relations 1

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math.NT2026

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

Narendra Bhandari

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

math.NT2026

Recurrences for Hypergeometric Moments and Binomial-Harmonic Sums

Narendra Bhandari

The paper investigates hypergeometric series with coefficients involving Pochhammer symbols, introducing a shift parameter to study sums with linear denominators and deriving recur…