3 results for Anderson, G.D.

  • Generalized Convexity and Inequalities

    Anderson, G.D.; Vamanamurthy, M.K.; Vuorinen, M. (2006-05)

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    The University of Auckland Library

    Several convexity properties are studied, with applications to power series, in particular to hypergeometric and related functions.

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  • Generalized Elliptic Integrals and Modular Equations

    Anderson, G.D.; Qiu, S.-L.; Vamanamurthy, M.K.; Vuorinen, M. (1998-04)

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    The University of Auckland Library

    from the Schwarz-Christoffel transformation of the upper half-plane onto a parallelogram and are naturally related to Gaussian hypergeometric functions. Certain combinations of these integrals also occur in analytic number theory in the study of Ramanujan's modular equations and approximations to $pi$. The authors study the monotoneity and convexity properties of these quantities and obtain sharp inequalities for them.

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  • Monotonicity of Some Functions in Calculus

    Anderson, G.D.; Vamanamurthy, M.K.; Vuorinen, M. (2005)

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    The University of Auckland Library

    In the note we study a monotone analogue of L'Hospital Rule for limits of indeterminate forms. This technique greatly simplifies proofs of monotonicity of such forms.

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