6020 



Solution of Equations of Finite Differences 



6020 



Equations of mixed differences. Poisson, S. D. 



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, case. Cesdro, E. N. A. Mth. 4 



(1885) 36-. 



, . Lemeray, E. M. Edinb. 



Mth. S. P. 16 (1898) 13-. 



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differences, development in functions of 

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of general equation. Sylvester, J. J. Ph. 

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Integration of linear equations, any order. 

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-- with partial finite differences. 

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variable coefficients. Binet, 

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method, Brisson's first, for linear and finite 

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for equations, coefficients of which are 

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-- , Laplace's,ior linear and finite difference 

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of partial finite and infinite difference equa- 

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-- f(x + n) = <f>(x)f(x). Spitzer, S. Grunert 

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+ (a + bn) A$(n) + c<j> (n) = 0. 



Thomae, J. Z. Mth. Ps. 16 (1871) 146-, 428-. 

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A. G. Mt. 31 (1893) 95-. 

 Inverse calculus of finite differences. Bjorling, 



E. G. Ups. N. Acta S. Sc. 12 (1844) 299-; 



13 (1847) 14-. 

 Linear difference or differential equations. 



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ferential equations into. Pincherle, S. Mil. 



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equations. Lobatto, E. Amst. N. Vh. 6 

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-- . Tardy, P. Tortolini A. 1 (1850) 337-. 

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190-. 

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-- .' Torelli, G. Nap. Bd. 34 (1895) 225-. 

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homogeneous equations, 2nd order, pro- 

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trinomial recurring equations. Caldarera, 



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C. B. 6 (1877) 194-. 

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of equations involving circulating functions. 

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reducible to linear equations. Oltra- 

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by finite differences, first -principles. 

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of linear equations. Mainardi, G. Bm. 

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. Oltramare, G. As. Fr. C. B. 



(1891) (Pt. 2) 66- ; (1895) (Pt. 2) 175-. 



by calculus of residues. Tortolini, 



B. G. Arcad. 90 (1842) 84-; 91 (1842) 3-; 

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with constant coefficients. Main- 

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Partial equations. Paoli, P. Verona S. It. 

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, case. Liouville, J. Liouv. J. Mth. 1 



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Particular equations. Herschel, (Sir) J. F. W. 

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Plane surface, formation, law of progress of 

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Series of Fuss's problem. Mention, J. St P6t. 

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Simultaneous linear differential or difference 

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Solution, approximate. Pincherle, S. Bm.B. 

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of class of difference or differential equa- 

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 260-. 



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