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Proofs of power sum and binomial coefficient congruences via Pascal's identity
binomial coefficient Pascal's identity
2010/11/8
A frequently cited theorem says that for n > 0 and prime p, the sum of the first p n-th powers is congruent to -1 modulo p if p-1 divides n, and to 0 otherwise. We survey the main ingredients in seve...
Coefficient Inequalities for Certain Classes of Ruscheweyh Type Analytic Functions
Convolution Ruscheweyh derivative Uniformly starlike and Uniformly convex
2010/1/25
A class of univalent functions which provides an interesting transition from starlike functions to convex functions is defined by making use of the Ruscheweyh derivative. Some coefficient inequalities...