Explicit formula for reciprocal generating function and its application
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In this work, we nd a new explicit formula for the coecients of a reciprocal generating function G(x) raised to the power of and apply the obtained results for getting new identities, particularly, for the Norlund polynomial and the Bernoulli numbers of the second kind. Also we establish a new explicit formula for obtaining coecients of a compositional inverse generating function.
Abstract
In this work, we nd a new explicit formula for the coecients of a reciprocal generating function G(x) raised to the power of and apply the obtained results for getting new identities, particularly, for the Norlund polynomial and the Bernoulli numbers of the second kind. Also we establish a new explicit formula for obtaining coecients of a compositional inverse generating function.
참고문헌 (8)
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