FunctionAdvisor/sum_form
return the sum form of a given mathematical function
Calling Sequence
Parameters
Description
Examples
FunctionAdvisor(sum_form, math_function)
sum_form
-
literal name; 'sum_form'
math_function
Maple name of mathematical function
The FunctionAdvisor(sum_form, math_function) command returns the sum form of the function if it exists.
FunctionAdvisorsum_form,StruveL
StruveLa,z=∑_k1=0∞−I2−1a2+12+2_k1za+1+2_k1ⅇI2aπ2a+2_k1Γ32+_k1Γ32+a+_k1,a+32::¬ℤ0,+
FunctionAdvisorsum_form,JacobiTheta1a,z
JacobiTheta1a,z=∑_k1=0∞2z_k1+122sina2_k1+1−1_k1,z<1
FunctionAdvisorsum_form,cos
cosz=∑_k1=0∞−1_k1z2_k12_k1!,with no restrictions on z
The variables used by the FunctionAdvisor command to create the function calling sequences are local variables. Therefore, the previous example does not depend on z.
dependsFunctionAdvisorsum_form,cos,z
false
To make the FunctionAdvisor command return results using global variables, pass the function call itself.
f≔FunctionAdvisorsum_form,Stirling1n,z
f≔Stirling1n,z=∑_k1=0n−z∑_k2=0_k1−12_k1−_k2n−1+_k1n−z+_k12n−zn−z−_k1_k1_k2_k2n−z+_k1_k1!,n::ℤ0,+∧z::ℤ0,+
dependsf,n,dependsf,z
true,true
See Also
depends
FunctionAdvisor
FunctionAdvisor/integral_form
FunctionAdvisor/topics
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