A class of numbers associated with the Lucas numbers |
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Affiliation: | Department of Mathematics, College of Technology and Agricultural Engineering Rajasthan Agricultural University, Udaipur 313001, Rajasthan, India;Department of Mathematics and Statistics, University of Victoria Victoria, British Columbia V8W 3P4, Canada |
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Abstract: | The main object of this paper is to present a systematic investigation of a new class of numbers associated with the familiar Lucas numbers. The various results obtained here for this class of numbers include explicit hypergeometric representations, generating functions, recurrence relations, and summation formulas. |
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