[PDF] Top 20 On Identities Of Rogers-Ramanujan Type
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On Identities Of Rogers-Ramanujan Type
... original Rogers-Ramanujan Identity. These two identities have motivated extensive research over the past hundred ...J. Rogers in 1894 that was completely ...by Ramanujan sometime before ... See full document
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Further Identities Of Rogers-Ramanujan Type
... original Rogers-Ramanujan Identity. These two identities have motivated extensive research over the past hundred ...J. Rogers in 1894 in a paper [8] that was completely ...by Ramanujan ... See full document
10
Some theorems on the explicit evaluation of Ramanujan's theta functions
... the Rogers-Ramanujan continued fraction and theta-functions in terms of Weber-Ramanujan class ...these identities of theta-functions recorded by Ramanujan in his notebooks and deduce ... See full document
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The Generalized Hahn Polynomials
... its identities: generating function, Mehler’s for- mula, Rogers formula (with some of its applications), Rogers-type formula, extended generating function, extended Mehler’s formula, extended ... See full document
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Properties of rational arithmetic functions
... of identities, the Busche-Ramanujan iden- tity and the binomial identity, which are known to hold for totients and/or specially mul- tiplicative functions, continue to hold for general rational arithmetic ... See full document
21
Modular Identities and Explicit Evaluations of a Continued Fraction of Ramanujan
... The continued fraction Rq has a very beautiful and extensive theory almost all of which was developed by Ramanujan. In particular, his lost notebook 2 contains several results on the Rogers-Ramanujan ... See full document
11
1974 conjecture of Andrews on partitions
... well-known Rogers-Ramanujan identities, Gordon’s theorem [7], the Göllnitz-Gordon identities [6] and their generalization [1], Schur’s theorem and its generalization [10] could be de- ... See full document
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The Rogers Ramanujan Identities
... 1894, Rogers found the two identities for the first ...1913, Ramanujan found the two identities later and then the two identities are known as The Rogers-Ramanujan ...two ... See full document
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THE GREAT MATHEMATICIAN SRINIVASA RAMANUJAN
... of Ramanujan is widespread in fields of Algebra, Geometry, Trigonometry, Calculus, Number theory ...S. Ramanujan belong to a higher realm of mathematics that is often referred to as Higher ...are ... See full document
14
Broussard v. Rogers
... When a couple with children divorces, child custody and support become significant. If the couple does not reach consensus on those issues, they must bring them to a trial court to determine. The recent case of Broussard ... See full document
10
Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings
... Hardy-Rogers type con- tractions and prove some fixed point theorems using various types of Hardy-Rogers con- tractions in the context of generating space of a b-dislocated metric ... See full document
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On a Result of Hardy and Ramanujan
... [4] Necdet Batir, An Interesting Double Inequality for Euler’s Gamma Function, JIPAM , 5 (4) (2004), Article 97. (submitted for publication) [10] Melvyn B[r] ... See full document
6
Ramanujan graphs in cryptography
... where Γ is a discrete cocompact subgroup, where Γ is obtained from a quaternion algebra B. We show how different input choices for the construction lead to different graphs. In the LPS con- struction one may vary Γ to ... See full document
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Ramanujan-style congruences of local origin
... Since in this case the existence of the congruence is not guaranteed by Theorem 1.1, we would like to prove it by applying Sturm’s theorem [St], which shows that two modular forms with a[r] ... See full document
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Tributes to William and Adele Rogers
... Rogers,' I was told, 'in the language of diplomacy we refer to that as hepatitis."' 6 In 1973, Bill Rogers received the National Medal of Freedom, America's hig[r] ... See full document
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SYMMETRY IDENTITIES OF CHANGHEE POLYNOMIALS OF TYPE TWO
... of type two are considered by ...symmetry identities for the Changhee polynomi- als of type two which are derived from the properties of symmetry for the fermionic p-adic integrals on Z p ... See full document
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Some identities of Barnes type special polynomials
... Lim and Do Advances in Difference Equations (2015) 2015 42 DOI 10 1186/s13662 015 0385 y R E S E A R C H Open Access Some identities of Barnes type special polynomials Dongkyu Lim and Younghae Do* *Co[.] ... See full document
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Intra pulse modulation recognition using short time ramanujan Fourier transform spectrogram
... of Ramanujan Fourier Trans- form(RFT) based time-frequency transform, namely Short-time Ramanujan Fourier transform(ST-RFT) has been investigated owing to the good immunity to noise interference of RFT ... See full document
11
On the harmonic number expansion by Ramanujan
... Chen, C-P, Srivastava, HM, Li, L, Manyama, S: Inequalities and monotonicity properties for the psi or digamma function and estimates for the Euler-Mascheroni constant.. Integral Transfor[r] ... See full document
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The development of the elliptic functions according to Ramanujan : a thesis presented in partial fulfillment of the requirements for the degree of Master of Information Sciences in Mathematics at Massey University
... For instance, Jacobi proved an identity for the sum of six triangles which is not widely known but I found a proof using Ramanujan 's result.. Ramanujan has given a formula for the sum o[r] ... See full document
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