Results 1 to 10 of about 96,717 (274)
Annamalai’s Binomial Identity and Theorem [PDF]
SSRN Electronic Journal, 2022 This paper presents Annamalai’s binomial theorem, coefficient and identity generated by Chinnaraji Annamalai of the Indian Institute of Technology Kharagpur. Also, an extended geometric series is introduced with innovative summation of single terms and more successive terms of the series in this article.
Chinnaraji Annamalai
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A Neutrosophic Binomial Factorial Theorem with their Refrains [PDF]
Neutrosophic Sets and Systems, 2016 The Neutrosophic Precalculus and the Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the method used to deal with such indeterminacy.
Huda E. Khalid +2 more
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Construction of Novel Binomial Theorem
, 2022 Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical and combinatorial equations for solving today’s scientific problems and challenges. This paper presents a new binomial expansion and theorem. This idea can enable the scientific researchers to solve the real life problems.
Chinnaraji Annamalai
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Binomial Coefficient and Factorial Theorem
, 2022 This Paper present a factorial theorem using the binomial coefficients. This idea will help to researchers working in combinatorics, computation, science and engineering.
Chinnaraji Annamalai
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, 2022 This paper presents theorems, lemmas, and corollaries on the binomial series. These ideas can enable the scientific researchers to solve the real life problems.
Chinnaraji Annamalai
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SSRN Electronic Journal, 2022 This paper presents a theorem on binomial series. These ideas can enable the scientific researchers to solve the real life problems.
Chinnaraji Annamalai
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Alternative to the Binomial Series or Binomial Theorem
, 2022 This paper presents an alternative to the existing binomial series or binomial theorem. This alternative binomial theorem uses the binomial coefficients of combinatorial geometric series for constructing the new binomial series. These ideas can enable the scientific researchers to solve the real life problems.
Chinnaraji Annamalai
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Computation of Binomial Series and Theorems without Binomial Coefficients [PDF]
Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical equations for solving today’s scientific problems and challenges. In this paper, a new binomial series and its theorem are introduced for applications of computing science and technology.
Chinnaraji Annamalai
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Generalized Barred Preferential Arrangements [PDF]
Transactions on Combinatorics, 2023 We investigate a generalization of Fubini numbers. We present the combinatorial interpretation as barred preferential arrangements with some additional conditions on the blocks. We provide a proof for a generalization of Nelsen's Theorem.
José A. Adell +3 more
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On the Accuracy of the Generalized Gamma Approximation to Generalized Negative Binomial Random Sums
Mathematics, 2021 We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in ...
Irina Shevtsova, Mikhail Tselishchev
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