Geodesic
DeWitt--Seeley--Gilkey coefficients for nonminimal differential operators in curved space
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 649-674.

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Asymptotic heat kernel expansion for nonminimal differential operators on curved manifolds in the presence of a gauge field is considered. The complete expressions for the fourth coefficient ($E_4$) in the heat kernel expansion for such operators are presented for the first time. The expressions were computed for general case of manifolds of arbitrary dimension $n$ and also for the most important case $n=4$. The calculations have been carried out on PC with the help of a program written in C. 
@article{FPM_1999_5_3_a1,
     author = {V. P. Gusynin and V. V. Kornyak},
     title = {DeWitt--Seeley--Gilkey coefficients for nonminimal differential operators in curved space},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {649--674},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a1/}
}
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V. P. Gusynin; V. V. Kornyak. DeWitt--Seeley--Gilkey coefficients for nonminimal differential operators in curved space. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 649-674. http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a1/