gfun[holexprtodiffeq] - produce a differential equation satisfied by a holonomic expression
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Calling Sequence
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holexprtodiffeq(expr, y(z))
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Parameters
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expr
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holonomic expression in y(z)
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y
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name; holonomic function name
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z
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name; variable of the holonomic function y
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Description
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The gfun[holexprtodiffeq](expr, y(z)) command produces a differential equation satisfied by the holonomic expression expr.
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If expr is a holonomic expression, then the gfun[holexprtodiffeq] function returns a differential equation in y and z that is satisfied by expr. Initial conditions are returned when possible.
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Not all holonomic functions are recognized by holexprtodiffeq. It currently accepts the following functions.
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BesselI
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BesselJ
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BesselK
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BesselY
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arccos
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arccosh
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arccot
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arccoth
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arccsc
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arccsch
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arcsec
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arcsech
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arcsin
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arcsinh
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arctan
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arctanh
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cos
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cosh
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erf
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erfc
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exp
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ln
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sin
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sinh
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