On k-analogues of digamma and polygamma functions
Copyright policy )On k-analogues of digamma and polygamma functions
Summary: In this work, we obtain some integral representations of \(k\)-analogue of classical digammafunction \(\Psi(x)\). Then by using the concepts of neutrix and neutrix limit, we generalize the \(k\)-digamma function \(\Psi_k(x)\) and the \(k\)-polygamma function \(\Psi_k^{(r)}(x)\) for all real values of \(x\), \(r\in \mathbb N\) and \(k>0\). Also, further results are given.
neutrix, \(k\)-digamma function, \(q\)-gamma functions, \(q\)-beta functions and integrals, \(k\)-polygamma function, digamma function, polygamma function, Gamma, beta and polygamma functions
neutrix, \(k\)-digamma function, \(q\)-gamma functions, \(q\)-beta functions and integrals, \(k\)-polygamma function, digamma function, polygamma function, Gamma, beta and polygamma functions
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