Theorems Stated by Ramanujan (X)

Preece, C. T.

doi:10.1112/jlms/s1-6.1.22

Cited by 11 publications

(2 citation statements)

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“…These two identities were first proved in print by C.T. Preece [Pre31] in 1931. Above, we have corrected two misprints in the second formula that appears in [Ra00, p. xxviii].…”

Section: Ramanujan's First Two Letters To Hardymentioning

confidence: 85%

Ramanujan's Beautiful Integrals

Berndt

Dixit

2021

Hardy-Ramanujan Journal

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International audience Throughout his entire mathematical life, Ramanujan loved to evaluate definite integrals. One can find them in his problems submitted to the Journal of the Indian Mathematical Society, notebooks, Quarterly Reports to the University of Madras, letters to Hardy, published papers and the Lost Notebook. His evaluations are often surprising, beautiful, elegant, and useful in other mathematical contexts. He also discovered general methods for evaluating and approximating integrals. A survey of Ramanujan's contributions to the evaluation of integrals is given, with examples provided from each of the above-mentioned sources.

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“…These two identities were first proved in print by C.T. Preece [Pre31] in 1931. Above, we have corrected two misprints in the second formula that appears in [Ra00, p. xxviii].…”

Section: Ramanujan's First Two Letters To Hardymentioning

confidence: 85%

Ramanujan's Beautiful Integrals

Berndt

Dixit

2021

Hardy-Ramanujan Journal

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show abstract

“…These two identities were first proved in print by C. T. Preece [27] in 1931. Above, we have corrected two misprints in the second formula that appears in [39, p. xxviii].…”

Section: Ramanujan's First Two Letters To Hardymentioning

confidence: 85%

Ramanujan's Beautiful Integrals

Berndt¹,

Dixit²

2021

Preprint

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Throughout his entire mathematical life, Ramanujan loved to evaluate definite integrals. One can find them in his problems submitted to the Journal of the Indian Mathematical Society, notebooks, Quarterly Reports to the University of Madras, letters to Hardy, published papers and the Lost Notebook. His evaluations are often surprising, beautiful, elegant, and useful in other mathematical contexts. He also discovered general methods for evaluating and approximating integrals. A survey of Ramanujan's contributions to the evaluation of integrals is given, with examples provided from each of the above-mentioned sources.

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Inequalities for Residuals of Power Expansions for the Exponential Function and Completely Monotone Functions

Merkle

1997

Journal of Mathematical Analysis and Applications

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Theorems Stated by Ramanujan (X)

Cited by 11 publications

References 0 publications

Ramanujan's Beautiful Integrals

Ramanujan's Beautiful Integrals

Ramanujan's Beautiful Integrals

Inequalities for Residuals of Power Expansions for the Exponential Function and Completely Monotone Functions

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