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Volume 10 - Issue 4 - June 1957

Contents

Research Article

  • Tensor Integrals

  • William Fabian
  • Published online by Cambridge University Press:
    20 January 2009, pp. 145-151
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  • A form of integration of tensors will be introduced here, which will preserve the character of a tensor when so integrated.

  • A Determinantal Expansion for a Class of Definite Integral: Part 4.

  • L. R. Shenton
  • Published online by Cambridge University Press:
    20 January 2009, pp. 153-166
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  • We shall show in this part the relation of generalised C.F.'s to ordinary C.F.'s, in the main confining our attention to Stieltjes type fractions. Moreover we shall bring out the part played by Parseval's theorem in our development of the subject, and a property of extremal solutions of the Stieltjes moment problem given by M. Riesz.

  • A Determinantal Expansion for a Class of Definite Integral: Part 5. Recurrence Relations

  • L. R. Shenton
  • Published online by Cambridge University Press:
    20 January 2009, pp. 167-188
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  • We develop here the recurrence relations for the generalised C.F.'s introduced in Part 3 (Shenton 1956). In the main the discussion will be limited to second order C.F.'s, but results for higher orders will be given when these are not complicated.

Index to papers

  • Index of papers published in this volume arranged according to names of authors

  • Published online by Cambridge University Press:
    20 January 2009, p. 189
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Index according to subjects

  • Index according to subjects

  • Published online by Cambridge University Press:
    20 January 2009, p. 190
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Front matter

  • PEM volume 10 issue 4 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Back matter

  • PEM volume 10 issue 4 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b2
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