Catalan's identity and Chebyshev polynomials of the second kind.

Udrea, Gheorghe

Displaying similar documents to “Catalan's identity and Chebyshev polynomials of the second kind.”

Asymptotics of regular convolution quotients.

Stanković, Bogoljub (1992)

International Journal of Mathematics and Mathematical Sciences

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Parallelisms between differential and difference equations

Veronika Chrastinová, Václav Tryhuk (2012)

Mathematica Bohemica

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The paper deals with the higher-order ordinary differential equations and the analogous higher-order difference equations and compares the corresponding fundamental concepts. Important dissimilarities appear for the moving frame method.

On sums of powers of terms in a linear recurrence.

Melham, R.S. (1999)

Portugaliae Mathematica

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A note on the sequence ${(W_{n})}_{n \geq 0}$ of A. F. Horadam.

Udrea, Gheorghe (1996)

Portugaliae Mathematica

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Existence for problems of viscoplastic contact with Coulomb friction.

Amassad, Amina, Fabre, Caroline (2002)

International Journal of Mathematics and Mathematical Sciences

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Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation.

Liang, Zongqi (2009)

Discrete Dynamics in Nature and Society

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Nontrivial solutions for a robin problem with a nonlinear term asymptotically linear at $- \infty$ and superlinear at $+ \infty$ .

Castro T., Rafael A. (2008)

Revista Colombiana de Matemáticas

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On the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$

Refik Keskin, Zafer Şiar, Olcay Karaatlı (2013)

Czechoslovak Mathematical Journal

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In this study, we determine when the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$ has an infinite number of positive integer solutions $x$ and $y$ for $0 \leq n \leq 10 .$ Moreover, we give all positive integer solutions of the same equation for $0 \leq n \leq 10$ in terms of generalized Fibonacci sequence. Lastly, we formulate a conjecture related to the Diophantine equation $x^{2} - k x y + y^{2} - 2^{n} = 0$ .

The essential norms of composition operators between generalized Bloch spaces in the polydisc and their applications.

Zhou, Zehua, Liu, Yan (2006)

Journal of Inequalities and Applications [electronic only]

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