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Rational Divide-and-Conquer Relations
Joint Authors
Pimsert, Watcharapon
Hengkrawit, Charinthip
Laohakosol, Vichian
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A rational divide-and-conquer relation, which is a natural generalization of the classical divide-and-conquer relation, is a recursive equation of the form f(bn)=R(f(n),f(n),…,f(b−1)n)+g(n), where b is a positive integer ≥2; R a rational function in b−1 variables and g a given function.
Closed-form solutions of certain rational divide-and-conquer relations which can be used to characterize the trigonometric cotangent-tangent and the hyperbolic cotangent-tangent function solutions are derived and their global behaviors are investigated.
American Psychological Association (APA)
Hengkrawit, Charinthip& Laohakosol, Vichian& Pimsert, Watcharapon. 2011. Rational Divide-and-Conquer Relations. ISRN Mathematical Analysis،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-507236
Modern Language Association (MLA)
Hengkrawit, Charinthip…[et al.]. Rational Divide-and-Conquer Relations. ISRN Mathematical Analysis No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-507236
American Medical Association (AMA)
Hengkrawit, Charinthip& Laohakosol, Vichian& Pimsert, Watcharapon. Rational Divide-and-Conquer Relations. ISRN Mathematical Analysis. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-507236
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507236