AbstractIn this note a multinomial extension of a result of Knuth is presented which allows very simple proofs of complicated multinomial coefficient identities. Proofs are given of the “multinomial theorem” and of Hurwitz's generalization of Abel's identity, the latter a well-known generlization of the binomial theorem
In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities ...
summary:The paper introduces six combinatorial identities “hidden” in Pascal’s triangle. The proofs ...
AbstractIn [9] Knuth shows how to derive the convolution formulas of Hagen, Rothe and Abel from Vand...
AbstractIn this note a multinomial extension of a result of Knuth is presented which allows very sim...
AbstractIn 1826 N. Abel found a generalization of the binomial formula. In 1902 Abel’s theorem was f...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
AbstractSeveral convolution identities, containing many free parameters, are shown to follow in a ve...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
AbstractIn 1826 N. Abel found a generalization of the binomial formula. In 1902 Abel’s theorem was f...
AbstractThe ordinary binomial theorem may be expressed in the statement that the polynomials xn are ...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities ...
summary:The paper introduces six combinatorial identities “hidden” in Pascal’s triangle. The proofs ...
AbstractIn [9] Knuth shows how to derive the convolution formulas of Hagen, Rothe and Abel from Vand...
AbstractIn this note a multinomial extension of a result of Knuth is presented which allows very sim...
AbstractIn 1826 N. Abel found a generalization of the binomial formula. In 1902 Abel’s theorem was f...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
AbstractSeveral convolution identities, containing many free parameters, are shown to follow in a ve...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric s...
AbstractIn 1826 N. Abel found a generalization of the binomial formula. In 1902 Abel’s theorem was f...
AbstractThe ordinary binomial theorem may be expressed in the statement that the polynomials xn are ...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities ...
summary:The paper introduces six combinatorial identities “hidden” in Pascal’s triangle. The proofs ...
AbstractIn [9] Knuth shows how to derive the convolution formulas of Hagen, Rothe and Abel from Vand...
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