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a study on hyperbolic numbers with generalized jacobsthal numbers components
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نویسنده
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soykan yüksel ,taşdemir erkan
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:1965 -1981
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چکیده
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In this paper, we introduce the generalized hyperbolic jacobsthal numbers. as special cases, we deal with hyperbolic jacobsthal and hyperbolic jacobsthal-lucas numbers. we present binet’s formulas, generating functions and the summation formulas for these numbers. moreover, we give catalan’s, cassini’s, d’ocagne’s, gelin-cesàro’s, melham’s identities and present matrices related with these sequences.
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کلیدواژه
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jacobsthal numbers ,jacobsthal-lucas numbers ,hyperbolic numbers ,hyperbolic jacobsthal numbers ,cassini identity
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آدرس
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zonguldak büent ecevit university, art and science faculty, department of mathematics, turkey, kırklareli university, pinarhisar vocational school, turkey
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پست الکترونیکی
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erkantasdemir@hotmail.com
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Authors
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