An operational calculus model for the central difference and exponential-trigonometric and hyperbolic fibonacci sequences
2018 ◽
Vol 214
(3)
◽
pp. 39-62
Abstract In the paper, there has been constructed such a non-classical Bittner operational calculus model, in which the derivative is understood as a central difference Dn{x(k)}:= {x(k+n)–x(k-n)}. The discussed model has been generalized by considering the operation Dn,b{x(k)}:= {x(k+n)–bx(k-n)}, where b∈𝕔\{0}. In the D1-difference model exponential-trigonometric and hyperbolic Fibonacci sequences have been introduced.
1970 ◽
Vol 61
(6, Pt.1)
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pp. 471-483
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1982 ◽
Vol 2
(4)
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pp. 389-402
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2015 ◽
Vol E98.B
(4)
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pp. 638-645
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2008 ◽
Vol 6
(4)
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pp. 349-360
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2011 ◽
Vol 30
(12)
◽
pp. 2871-2875