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We derive several new expansion formulas for a new family of the λ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some importantfractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and thegeneralized chain rule. Several (known or new) special cases are also considered

international journal of mathematics and mathematical sciences

New Expansion Formulas for a Family of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-Generalized Hurwitz-Lerch Zeta Functions

New Expansion Formulas for a Family of theλ-Generalized Hurwitz-Lerch Zeta Functions