### Abstract

The purpose of this paper is to examine the content of Chapter 4 of Ramanujan's second notebook. The first half of this chapter is on iterates of the exponential function. The second half focuses upon an interesting formal procedure which Ramanujan, in particular, used in the theory of integral transforms.

Original language | English (US) |
---|---|

Pages (from-to) | 87-109 |

Number of pages | 23 |

Journal | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |

Volume | 89 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 1 1981 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Proceedings of the Royal Society of Edinburgh: Section A Mathematics*,

*89*(1-2), 87-109. https://doi.org/10.1017/S0308210500032388

**Chapter 4 of Ramanujan’s Second Notebook.** / Berndt, Bruce C.; Wilson, B. M.

Research output: Contribution to journal › Article

*Proceedings of the Royal Society of Edinburgh: Section A Mathematics*, vol. 89, no. 1-2, pp. 87-109. https://doi.org/10.1017/S0308210500032388

}

TY - JOUR

T1 - Chapter 4 of Ramanujan’s Second Notebook

AU - Berndt, Bruce C.

AU - Wilson, B. M.

PY - 1981/1/1

Y1 - 1981/1/1

N2 - The purpose of this paper is to examine the content of Chapter 4 of Ramanujan's second notebook. The first half of this chapter is on iterates of the exponential function. The second half focuses upon an interesting formal procedure which Ramanujan, in particular, used in the theory of integral transforms.

AB - The purpose of this paper is to examine the content of Chapter 4 of Ramanujan's second notebook. The first half of this chapter is on iterates of the exponential function. The second half focuses upon an interesting formal procedure which Ramanujan, in particular, used in the theory of integral transforms.

UR - http://www.scopus.com/inward/record.url?scp=84971184057&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84971184057&partnerID=8YFLogxK

U2 - 10.1017/S0308210500032388

DO - 10.1017/S0308210500032388

M3 - Article

AN - SCOPUS:84971184057

VL - 89

SP - 87

EP - 109

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 1-2

ER -