Short proofs for q-Raabe formula and integrals for Jacobi theta functions
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🧮 math.NT
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formulaintegralproofsraabeshallshortthetaanalogue
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We shall answer a question of Mez\H{o} on the $q$-analogue of the Raabe's integral formula for $0<q<1$ and we shall evaluate an integral involving the first theta function. Moreover, we will reproduce short proofs for some identities of Mez\H{o}.
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