ON A GENERALIZED FORMULA OF TAYLOR–MACLAURIN TYPE ON THE GENERALIZED COMPLETELY MONOTONE FUNCTIONS

Sahakyan Sahakyan

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Abstract

In the paper Taylor–Maclaurin type formulas for some classes of functionsare obtained. The main result of this study introduces an idea of the generalizedclasses of〈ρj〉completely monotone function. Under the various conditions

(∞∑j=11ρj<+∞,∞∑j=11ρj= +∞,)

the terms of their representation are obtainedand some related theorems are proved.

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ON A GENERALIZED FORMULA OF TAYLOR–MACLAURIN TYPE ON THE GENERALIZED COMPLETELY MONOTONE FUNCTIONS

Abstract

Author(s)

Table of Contents

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ON A GENERALIZED FORMULA OF TAYLOR–MACLAURIN TYPE ON THE GENERALIZED COMPLETELY MONOTONE FUNCTIONS

Abstract

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