Accesso libero

An Operational Calculus Model for the nTH – Order Forward Difference

INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] Bittner R., On certain axiomatics for the operational calculus, ‘Bull. Acad. Polon. Sci.’, 1959, Cl. III, 7(1), pp. 1-9.Search in Google Scholar

[2] Bittner R., Operational calculus in linear spaces, ‘Studia Math.’, 1961, 20, pp. 1-18.10.4064/sm-20-1-1-18Search in Google Scholar

[3] Bittner R., Algebraic and analytic properties of solutions of abstract differential equations, ‘Rozprawy Matematyczne’ [‘Dissertationes Math.’], 41, PWN, Warszawa 1964.Search in Google Scholar

[4] Bittner R., Rachunek operatorów w przestrzeniach liniowych, PWN, Warszawa 1974 [Operational Calculus in Linear Spaces - available in Polish].Search in Google Scholar

[5] Bittner R., Mieloszyk E., Properties of eigenvalues and eigenelements of some difference equations in a given operational calculus, ‘Zeszyty Naukowe Wydz. Mat. Fiz. Chem. Uniwersytetu Gdańskiego, Matematyka’, 1981, 5, pp. 5-18.Search in Google Scholar

[6] Levy H., Lessman F., Finite difference equations, Pitman and Sons, London 1959.Search in Google Scholar

[7] Mieloszyk E., Example of operational calculus, ‘Zeszyty Naukowe Politechniki Gdańskiej, Matematyka XIII’, 1985, 383, pp. 151-157.Search in Google Scholar

[8] Renault M., [online], http://webspace.ship.edu/msrenault/ [access 28.05.2017].Search in Google Scholar

[9] Wall D. D., Fibonacci series modulo m, ‘Amer. Math. Monthly’, 1960, 67(6), pp. 525-532.10.1080/00029890.1960.11989541Search in Google Scholar

[10] Weisstein E. W., ’Pisano Period’, from MathWorld - A Wolfram Web Resource, [online], http://mathworld.wolfram.com/PisanoPeriod.html [access 28.05.2017].Search in Google Scholar

[11] Wysocki H., Taylor’s formula for the forward difference via operational calculus, ‘Studia Sci. Math. Hungar.’, 2010, 47(1), pp. 46-53.10.1556/sscmath.2009.1111Search in Google Scholar

[12] Wysocki H., The operational calculus model for the nth-order backward difference, ‘Zeszyty Naukowe Akademii Marynarki Wojennej’ [‘Scientific Journal of PNA’], 2015, 3(202), pp. 75-88.10.5604/0860889X.1178573Search in Google Scholar