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The terminating basic hypergeometric series is investigated through the modified Abel lemma on summation by parts. Numerous known summation and transformation formulae are derived in a unified manner. Several new identities for the terminating quadratic, cubic and quartic series are also established.  相似文献
2.
By means of the symmetric summation theorem on polynomial differences due to Chu and Magli [Summation formulae on reciprocal sequences. European J Combin. 2007;28(3):921–930], we examine Bernoulli and Euler polynomials of higher order. Several reciprocal relations on Bernoulli and Euler numbers and polynomials are established, including some recent ones obtained by Agoh Shortened recurrence relations for generalized Bernoulli numbers and polynomials. J Number Theory. 2017;176:149–173.  相似文献
3.
The main objective of this paper is to derive the upper bounds for the coefficients of functions in a subclass of analytic and bi-univalent functions associated with Faber polynomials.The consequences presented here point out and correct the errors of some earlier results.  相似文献
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