Changes between Initial Version and Version 7 of Ticket #16697
 Timestamp:
 07/23/14 12:48:35 (6 years ago)
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Ticket #16697
 Property Cc kcrisman nbruin added

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u/rws/implement_symbolic_lower_incomplete_gamma_function

Ticket #16697 – Description
initial v7 13 13 https://en.wikipedia.org/wiki/Incomplete_gamma_function#Lower_incomplete_Gamma_function 14 14 15 Mathematica seems to have Gamma[a,z] for upper and Gamma[a,0,z] for lower; Maple seems to have upper Gamma. `gamma_inc` (the upper one in Sage) gets immediately converted to `gamma(a,x)` , so Sage has already went the Mathematica path of `gamma(a)=gamma(a,x)+gamma(a,0,x)`. The symbolic functions `gamma_inc==incomplete_gamma` are converted and never returned to the user as expression:15 Mathematica seems to have Gamma[a,z] for upper and Gamma[a,0,z] for lower; Maple seems to have upper Gamma. `gamma_inc` (the upper one in Sage) gets immediately converted to `gamma(a,x)`. The symbolic functions `gamma_inc==incomplete_gamma` are converted and never returned to the user as expression: 16 16 {{{ 17 17 sage: gamma_inc(x,x,hold=True) … … 23 23 gamma(s, x) + gamma(s) 24 24 }}} 25 So, what's the plan? 25 This ticket should deprecate "incomplete_gamma" and add the symbolic function `gamma_inc_lower`, leaving open the question of the global alias for and the displayed name of `Function_gamma_inc`. 26 27 Previous part of description: 28  26 29 27 30 1. Provide all three "user input interfaces" `gamma_inc`, `incomplete_gamma` and `lower_incomplete_gamma`, and convert the Maxima `gamma_greek` to `gamma(a, x) + gamma(a)`