THE MODULAR RELATION AND THE DIGAMMA FUNCTION
THE MODULAR RELATION AND THE DIGAMMA FUNCTIONIn this paper we shall locate a class of fundamental identities for the gamma function and trigonometric functions in the chart of functional equations for the zeta-functions as a manifestation of the underlying modular relation. We use the beta-transform but not the inverse Heaviside integral. Instead we appeal to the reciprocal relation for the Euler
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